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157209472 = 2771710321
BaseRepresentation
bin10010101111011…
…01001110000000
3101221211001212001
421113231032000
5310221200342
623333313344
73616154440
oct1127551600
9357731761
10157209472
1180816892
1244795854
1326754574
1416c44120
15dc058b7
hex95ed380

157209472 has 64 divisors (see below), whose sum is σ = 379023840. Its totient is φ = 63406080.

The previous prime is 157209467. The next prime is 157209473. The reversal of 157209472 is 274902751.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157209473) 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 7 ways as a sum of consecutive naturals, for example, 10072 + ... + 20392.

Almost surely, 2157209472 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 157209472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189511920).

157209472 is an abundant number, since it is smaller than the sum of its proper divisors (221814368).

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

157209472 is a wasteful number, since it uses less digits than its factorization.

157209472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10359 (or 10347 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 37.

The square root of 157209472 is about 12538.3201426666. The cubic root of 157209472 is about 539.7088874432.

The spelling of 157209472 in words is "one hundred fifty-seven million, two hundred nine thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 224 238 272 448 476 544 896 952 1088 1904 2176 3808 7616 10321 15232 20642 41284 72247 82568 144494 165136 175457 288988 330272 350914 577976 660544 701828 1155952 1228199 1321088 1403656 2311904 2456398 2807312 4623808 4912796 5614624 9247616 9825592 11229248 19651184 22458496 39302368 78604736 157209472