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125928450 = 23252234
BaseRepresentation
bin1111000000110…
…00010000000010
322202221211100200
413200120100002
5224214202300
620255030030
73056242224
oct740302002
9282854320
10125928450
11650a09aa
123620b316
132012149b
1412a20414
15b0c7200
hex7818402

125928450 has 90 divisors (see below), whose sum is σ = 353706249. Its totient is φ = 32120880.

The previous prime is 125928419. The next prime is 125928487. The reversal of 125928450 is 54829521.

125928450 is a `hidden beast` number, since 12 + 592 + 8 + 4 + 50 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 123409881 + 2518569 = 11109^2 + 1587^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=7935.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5475139 + ... + 5475161.

Almost surely, 2125928450 is an apocalyptic number.

125928450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 125928450

125928450 is an abundant number, since it is smaller than the sum of its proper divisors (227777799).

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

125928450 is an frugal number, since it uses more digits than its factorization.

125928450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 125928450 is about 11221.7846174305. The cubic root of 125928450 is about 501.2348809605.

Multiplying 125928450 by its product of nonzero digits (28800), we get a 4-th power (3626739360000 = 13804).

The spelling of 125928450 in words is "one hundred twenty-five million, nine hundred twenty-eight thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 23 25 30 45 46 50 69 75 90 115 138 150 207 225 230 345 414 450 529 575 690 1035 1058 1150 1587 1725 2070 2645 3174 3450 4761 5175 5290 7935 9522 10350 12167 13225 15870 23805 24334 26450 36501 39675 47610 60835 73002 79350 109503 119025 121670 182505 219006 238050 279841 304175 365010 547515 559682 608350 839523 912525 1095030 1399205 1679046 1825050 2518569 2737575 2798410 4197615 5037138 5475150 6996025 8395230 12592845 13992050 20988075 25185690 41976150 62964225 125928450