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5259322608 = 2432931307397
BaseRepresentation
bin1001110010111101…
…01110010011110000
3111120112100021022020
410321132232103300
541232341310413
62225513311440
7244221335031
oct47136562360
914515307266
105259322608
112259828a11
121029405580
1365a7b6717
1437c6c6a88
1520baccc23
hex1397ae4f0

5259322608 has 160 divisors (see below), whose sum is σ = 14592399360. Its totient is φ = 1628605440.

The previous prime is 5259322559. The next prime is 5259322613. The reversal of 5259322608 is 8062239525.

It is a self number, because there is not a number n which added to its sum of digits gives 5259322608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13247466 + ... + 13247862.

It is an arithmetic number, because the mean of its divisors is an integer number (91202496).

Almost surely, 25259322608 is an apocalyptic number.

5259322608 is a gapful number since it is divisible by the number (58) 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 5259322608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7296199680).

5259322608 is an abundant number, since it is smaller than the sum of its proper divisors (9333076752).

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

5259322608 is a wasteful number, since it uses less digits than its factorization.

5259322608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The square root of 5259322608 is about 72521.1873041251. The cubic root of 5259322608 is about 1739.0414643936.

The spelling of 5259322608 in words is "five billion, two hundred fifty-nine million, three hundred twenty-two thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 31 48 58 62 87 93 116 124 174 186 232 248 307 348 372 397 464 496 614 696 744 794 899 921 1191 1228 1392 1488 1588 1798 1842 2382 2456 2697 3176 3596 3684 4764 4912 5394 6352 7192 7368 8903 9517 9528 10788 11513 12307 14384 14736 17806 19034 19056 21576 23026 24614 26709 28551 34539 35612 36921 38068 43152 46052 49228 53418 57102 69078 71224 73842 76136 92104 98456 106836 114204 121879 138156 142448 147684 152272 184208 196912 213672 228408 243758 275993 276312 295368 356903 365637 427344 456816 487516 551986 552624 590736 713806 731274 827979 975032 1070709 1103972 1427612 1462548 1655958 1950064 2141418 2207944 2855224 2925096 3311916 3534491 3778249 4282836 4415888 5710448 5850192 6623832 7068982 7556498 8565672 10603473 11334747 13247664 14137964 15112996 17131344 21206946 22669494 28275928 30225992 42413892 45338988 56551856 60451984 84827784 90677976 109569221 169655568 181355952 219138442 328707663 438276884 657415326 876553768 1314830652 1753107536 2629661304 5259322608