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157976325 = 34521317353
BaseRepresentation
bin10010110101010…
…00011100000101
3102000021000210000
421122220130011
5310420220300
623401551513
73625530243
oct1132503405
9360230700
10157976325
118119aa51
1244aa5599
1326962620
1416da3793
15dd07c00
hex96a8705

157976325 has 120 divisors (see below), whose sum is σ = 334619208. Its totient is φ = 72990720.

The previous prime is 157976309. The next prime is 157976327. The reversal of 157976325 is 523679751.

157976325 is a `hidden beast` number, since 1 + 5 + 7 + 9 + 7 + 632 + 5 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 54730404 + 103245921 = 7398^2 + 10161^2 .

It is not a de Polignac number, because 157976325 - 24 = 157976309 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

Its product of digits (396900) is a multiple of the sum of its prime factors (405).

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157976327) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 447349 + ... + 447701.

Almost surely, 2157976325 is an apocalyptic number.

157976325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

157976325 is an abundant number, since it is smaller than the sum of its proper divisors (176642883).

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

157976325 is a wasteful number, since it uses less digits than its factorization.

157976325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 391 counting only the distinct ones).

The product of its digits is 396900, while the sum is 45.

The square root of 157976325 is about 12568.8633137607. The cubic root of 157976325 is about 540.5850141386.

It can be divided in two parts, 15797 and 6325, that added together give a palindrome (22122).

The spelling of 157976325 in words is "one hundred fifty-seven million, nine hundred seventy-six thousand, three hundred twenty-five".

Divisors: 1 3 5 9 13 15 17 25 27 39 45 51 65 75 81 85 117 135 153 195 221 225 255 325 351 353 405 425 459 585 663 675 765 975 1053 1059 1105 1275 1377 1755 1765 1989 2025 2295 2925 3177 3315 3825 4589 5265 5295 5525 5967 6001 6885 8775 8825 9531 9945 11475 13767 15885 16575 17901 18003 22945 26325 26475 28593 29835 30005 34425 41301 47655 49725 54009 68835 78013 79425 89505 90015 114725 123903 142965 149175 150025 162027 206505 234039 238275 270045 344175 371709 390065 447525 450075 486081 619515 702117 714825 810135 1032525 1170195 1350225 1858545 1950325 2106351 2430405 3097575 3510585 4050675 5850975 6319053 9292725 10531755 12152025 17552925 31595265 52658775 157976325