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125664426 = 23341211269
BaseRepresentation
bin1110111110101…
…11110010101010
322202110102012000
413133113302222
5224132230201
620245231430
73054062406
oct737276252
9282412160
10125664426
1164a305a8
1236102576
132005b264
1412992106
15b073d86
hex77d7caa

125664426 has 64 divisors (see below), whose sum is σ = 288489600. Its totient is φ = 40521600.

The previous prime is 125664419. The next prime is 125664443. The reversal of 125664426 is 624466521.

125664426 is a `hidden beast` number, since 1 + 2 + 5 + 6 + 644 + 2 + 6 = 666.

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, 467020 + ... + 467288.

It is an arithmetic number, because the mean of its divisors is an integer number (4507650).

Almost surely, 2125664426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125664426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144244800).

125664426 is an abundant number, since it is smaller than the sum of its proper divisors (162825174).

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

125664426 is a wasteful number, since it uses less digits than its factorization.

125664426 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 526 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 125664426 is about 11210.0145405793. The cubic root of 125664426 is about 500.8843363098.

The spelling of 125664426 in words is "one hundred twenty-five million, six hundred sixty-four thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 41 54 82 123 211 246 269 369 422 538 633 738 807 1107 1266 1614 1899 2214 2421 3798 4842 5697 7263 8651 11029 11394 14526 17302 22058 25953 33087 51906 56759 66174 77859 99261 113518 155718 170277 198522 233577 297783 340554 467154 510831 595566 1021662 1532493 2327119 3064986 4654238 6981357 13962714 20944071 41888142 62832213 125664426