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157327452 = 2232172311177
BaseRepresentation
bin10010110000010…
…10000001011100
3101222001001200200
421120022001130
5310233434302
623340023500
73620155422
oct1130120134
9358031620
10157327452
1180897497
1244831b90
1326796189
1416c75112
15dc2a81c
hex960a05c

157327452 has 72 divisors (see below), whose sum is σ = 439429536. Its totient is φ = 47207424.

The previous prime is 157327399. The next prime is 157327459. The reversal of 157327452 is 254723751.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157327459) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8488 + ... + 19664.

It is an arithmetic number, because the mean of its divisors is an integer number (6103188).

Almost surely, 2157327452 is an apocalyptic number.

157327452 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 157327452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219714768).

157327452 is an abundant number, since it is smaller than the sum of its proper divisors (282102084).

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

157327452 is a wasteful number, since it uses less digits than its factorization.

157327452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11227 (or 11222 counting only the distinct ones).

The product of its digits is 58800, while the sum is 36.

The square root of 157327452 is about 12543.0240372886. The cubic root of 157327452 is about 539.8438643243.

The spelling of 157327452 in words is "one hundred fifty-seven million, three hundred twenty-seven thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 23 34 36 46 51 68 69 92 102 138 153 204 207 276 306 391 414 612 782 828 1173 1564 2346 3519 4692 7038 11177 14076 22354 33531 44708 67062 100593 134124 190009 201186 257071 380018 402372 514142 570027 760036 771213 1028284 1140054 1542426 1710081 2280108 2313639 3084852 3420162 4370207 4627278 6840324 8740414 9254556 13110621 17480828 26221242 39331863 52442484 78663726 157327452