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4250827680 = 253511805081
BaseRepresentation
bin1111110101011110…
…0111101110100000
3101222020200102100020
43331113213232200
532201202441210
61541445553440
7210224303421
oct37527475640
911866612306
104250827680
111891532830
129a7715880
13529893a68
142c47a7648
1519d2be770
hexfd5e7ba0

4250827680 has 96 divisors (see below), whose sum is σ = 14607407808. Its totient is φ = 1030502400.

The previous prime is 4250827661. The next prime is 4250827699. The reversal of 4250827680 is 867280524.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4250827661) and next prime (4250827699).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 397261 + ... + 407820.

It is an arithmetic number, because the mean of its divisors is an integer number (152160498).

Almost surely, 24250827680 is an apocalyptic number.

4250827680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4250827680 is an abundant number, since it is smaller than the sum of its proper divisors (10356580128).

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

4250827680 is a wasteful number, since it uses less digits than its factorization.

4250827680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805110 (or 805102 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 4250827680 is about 65198.3717588101. The cubic root of 4250827680 is about 1619.9110452604.

The spelling of 4250827680 in words is "four billion, two hundred fifty million, eight hundred twenty-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 805081 1610162 2415243 3220324 4025405 4830486 6440648 8050810 8855891 9660972 12076215 12881296 16101620 17711782 19321944 24152430 25762592 26567673 32203240 35423564 38643888 44279455 48304860 53135346 64406480 70847128 77287776 88558910 96609720 106270692 128812960 132838365 141694256 177117820 193219440 212541384 265676730 283388512 354235640 386438880 425082768 531353460 708471280 850165536 1062706920 1416942560 2125413840 4250827680