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6253050480 = 2435192359621
BaseRepresentation
bin1011101001011010…
…11111101001110000
3121010210012212200020
411310231133221300
5100301240103410
62512252323440
7310646023605
oct56455375160
917123185606
106253050480
112719758416
121266173580
13788638a91
144346806ac
15268e70a70
hex174b5fa70

6253050480 has 160 divisors (see below), whose sum is σ = 21292208640. Its totient is φ = 1511009280.

The previous prime is 6253050473. The next prime is 6253050487. The reversal of 6253050480 is 840503526.

It is an interprime number because it is at equal distance from previous prime (6253050473) and next prime (6253050487).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6253050487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75070 + ... + 134690.

It is an arithmetic number, because the mean of its divisors is an integer number (133076304).

Almost surely, 26253050480 is an apocalyptic number.

6253050480 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6253050480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10646104320).

6253050480 is an abundant number, since it is smaller than the sum of its proper divisors (15039158160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6253050480 is a wasteful number, since it uses less digits than its factorization.

6253050480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59679 (or 59673 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 6253050480 is about 79076.2320801896. The cubic root of 6253050480 is about 1842.3153822950.

The spelling of 6253050480 in words is "six billion, two hundred fifty-three million, fifty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 23 24 30 38 40 46 48 57 60 69 76 80 92 95 114 115 120 138 152 184 190 228 230 240 276 285 304 345 368 380 437 456 460 552 570 690 760 874 912 920 1104 1140 1311 1380 1520 1748 1840 2185 2280 2622 2760 3496 4370 4560 5244 5520 6555 6992 8740 10488 13110 17480 20976 26220 34960 52440 59621 104880 119242 178863 238484 298105 357726 476968 596210 715452 894315 953936 1132799 1192420 1371283 1430904 1788630 2265598 2384840 2742566 2861808 3398397 3577260 4113849 4531196 4769680 5485132 5663995 6796794 6856415 7154520 8227698 9062392 10970264 11327990 13593588 13712830 14309040 16455396 16991985 18124784 20569245 21940528 22655980 26054377 27187176 27425660 32910792 33983970 41138490 45311960 52108754 54374352 54851320 65821584 67967940 78163131 82276980 90623920 104217508 109702640 130271885 135935880 156326262 164553960 208435016 260543770 271871760 312652524 329107920 390815655 416870032 521087540 625305048 781631310 1042175080 1250610096 1563262620 2084350160 3126525240 6253050480