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1052425656 = 2333191012539
BaseRepresentation
bin111110101110101…
…011110110111000
32201100022202121000
4332232223312320
54123410110111
6252233045000
735036320242
oct7656536670
92640282530
101052425656
114a0080a77
12254556760
1313a064699
149dab7092
15625d9c56
hex3ebabdb8

1052425656 has 128 divisors (see below), whose sum is σ = 3108960000. Its totient is φ = 328924800.

The previous prime is 1052425639. The next prime is 1052425691. The reversal of 1052425656 is 6565242501.

1052425656 is a `hidden beast` number, since 1 + 0 + 52 + 42 + 565 + 6 = 666.

It is a super-2 number, since 2×10524256562 = 2215199522814060672, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1052425656.

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, 413235 + ... + 415773.

It is an arithmetic number, because the mean of its divisors is an integer number (24288750).

Almost surely, 21052425656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1052425656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1554480000).

1052425656 is an abundant number, since it is smaller than the sum of its proper divisors (2056534344).

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

1052425656 is a wasteful number, since it uses less digits than its factorization.

1052425656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2674 (or 2664 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 1052425656 is about 32441.1105851819. The cubic root of 1052425656 is about 1017.1784304188.

The spelling of 1052425656 in words is "one billion, fifty-two million, four hundred twenty-five thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 101 108 114 152 171 202 216 228 303 342 404 456 513 606 684 808 909 1026 1212 1368 1818 1919 2052 2424 2539 2727 3636 3838 4104 5078 5454 5757 7272 7617 7676 10156 10908 11514 15234 15352 17271 20312 21816 22851 23028 30468 34542 45702 46056 48241 51813 60936 68553 69084 91404 96482 103626 137106 138168 144723 182808 192964 207252 256439 274212 289446 385928 414504 434169 512878 548424 578892 769317 868338 1025756 1157784 1302507 1538634 1736676 2051512 2307951 2605014 3077268 3473352 4615902 4872341 5210028 6154536 6923853 9231804 9744682 10420056 13847706 14617023 18463608 19489364 27695412 29234046 38978728 43851069 55390824 58468092 87702138 116936184 131553207 175404276 263106414 350808552 526212828 1052425656