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158609952 = 25321075147
BaseRepresentation
bin10010111010000…
…11001000100000
3102001110012221200
421131003020200
5311101004302
623423321200
73634106454
oct1135031040
9361405850
10158609952
1181593006
1245150200
1326b24b57
14170ca664
15ddd081c
hex9743220

158609952 has 72 divisors (see below), whose sum is σ = 455350896. Its totient is φ = 52365696.

The previous prime is 158609917. The next prime is 158609963. The reversal of 158609952 is 259906851.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 158609898 and 158609907.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28243 + ... + 33389.

It is an arithmetic number, because the mean of its divisors is an integer number (6324318).

Almost surely, 2158609952 is an apocalyptic number.

158609952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 158609952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227675448).

158609952 is an abundant number, since it is smaller than the sum of its proper divisors (296740944).

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

158609952 is a wasteful number, since it uses less digits than its factorization.

158609952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5270 (or 5259 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The square root of 158609952 is about 12594.0443067348. The cubic root of 158609952 is about 541.3067938704.

The spelling of 158609952 in words is "one hundred fifty-eight million, six hundred nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 107 144 214 288 321 428 642 856 963 1284 1712 1926 2568 3424 3852 5136 5147 7704 10272 10294 15408 15441 20588 30816 30882 41176 46323 61764 82352 92646 123528 164704 185292 247056 370584 494112 550729 741168 1101458 1482336 1652187 2202916 3304374 4405832 4956561 6608748 8811664 9913122 13217496 17623328 19826244 26434992 39652488 52869984 79304976 158609952