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158425956 = 223413291297
BaseRepresentation
bin10010111000101…
…10001101100100
3102001002212120000
421130112031210
5311024112311
623415341300
73632412153
oct1134261544
9361085500
10158425956
1181477847
1245081830
1326a8c190
141707d59a
15dd96056
hex9716364

158425956 has 120 divisors (see below), whose sum is σ = 461750520. Its totient is φ = 47029248.

The previous prime is 158425951. The next prime is 158425991. The reversal of 158425956 is 659524851.

158425956 is a `hidden beast` number, since 1 + 58 + 4 + 2 + 595 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 46785600 + 111640356 = 6840^2 + 10566^2 .

It is not an unprimeable number, because it can be changed into a prime (158425951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 121500 + ... + 122796.

It is an arithmetic number, because the mean of its divisors is an integer number (3847921).

Almost surely, 2158425956 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 158425956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230875260).

158425956 is an abundant number, since it is smaller than the sum of its proper divisors (303324564).

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

158425956 is a wasteful number, since it uses less digits than its factorization.

158425956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355 (or 1344 counting only the distinct ones).

The product of its digits is 432000, while the sum is 45.

The square root of 158425956 is about 12586.7373055927. The cubic root of 158425956 is about 541.0973979665.

The spelling of 158425956 in words is "one hundred fifty-eight million, four hundred twenty-five thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 29 36 39 52 54 58 78 81 87 108 116 117 156 162 174 234 261 324 348 351 377 468 522 702 754 783 1044 1053 1131 1297 1404 1508 1566 2106 2262 2349 2594 3132 3393 3891 4212 4524 4698 5188 6786 7782 9396 10179 11673 13572 15564 16861 20358 23346 30537 33722 35019 37613 40716 46692 50583 61074 67444 70038 75226 101166 105057 112839 122148 140076 150452 151749 202332 210114 225678 303498 338517 420228 451356 455247 488969 606996 677034 910494 977938 1015551 1354068 1365741 1466907 1820988 1955876 2031102 2731482 2933814 3046653 4062204 4400721 5462964 5867628 6093306 8801442 12186612 13202163 17602884 26404326 39606489 52808652 79212978 158425956