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1059225856 = 28133110267
BaseRepresentation
bin111111001000101…
…000000100000000
32201211010020201021
4333020220010000
54132130211411
6253034515224
735151162013
oct7710500400
92654106637
101059225856
114a39a6077
12256895b14
1313b5a5980
14a096737a
1562ecea71
hex3f228100

1059225856 has 72 divisors (see below), whose sum is σ = 2350632704. Its totient is φ = 473057280.

The previous prime is 1059225833. The next prime is 1059225859. The reversal of 1059225856 is 6585229501.

It is a super-2 number, since 2×10592258562 = 2243918828037865472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1059225859) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98035 + ... + 108301.

Almost surely, 21059225856 is an apocalyptic number.

1059225856 is a gapful number since it is divisible by the number (16) 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 1059225856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175316352).

1059225856 is an abundant number, since it is smaller than the sum of its proper divisors (1291406848).

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

1059225856 is a wasteful number, since it uses less digits than its factorization.

1059225856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10327 (or 10313 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 43.

The square root of 1059225856 is about 32545.7501987587. The cubic root of 1059225856 is about 1019.3645458871.

The spelling of 1059225856 in words is "one billion, fifty-nine million, two hundred twenty-five thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 128 208 248 256 403 416 496 806 832 992 1612 1664 1984 3224 3328 3968 6448 7936 10267 12896 20534 25792 41068 51584 82136 103168 133471 164272 266942 318277 328544 533884 636554 657088 1067768 1273108 1314176 2135536 2546216 2628352 4137601 4271072 5092432 8275202 8542144 10184864 16550404 17084288 20369728 33100808 34168576 40739456 66201616 81478912 132403232 264806464 529612928 1059225856