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157513472 = 284143349
BaseRepresentation
bin10010110001101…
…11011100000000
3101222101111212022
421120313130000
5310310412342
623344021012
73621561644
oct1130673400
9358344768
10157513472
1180a04226
1244901768
132682ca4c
1416cc2c24
15dc659d2
hex9637700

157513472 has 72 divisors (see below), whose sum is σ = 330514800. Its totient is φ = 74833920.

The previous prime is 157513469. The next prime is 157513481. The reversal of 157513472 is 274315751.

It is a super-2 number, since 2×1575134722 = 49620987722989568, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 451154 + ... + 451502.

Almost surely, 2157513472 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 157513472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165257400).

157513472 is an abundant number, since it is smaller than the sum of its proper divisors (173001328).

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

157513472 is an equidigital number, since it uses as much as digits as its factorization.

157513472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 435 counting only the distinct ones).

The product of its digits is 29400, while the sum is 35.

The square root of 157513472 is about 12550.4371238615. The cubic root of 157513472 is about 540.0565464333.

The spelling of 157513472 in words is "one hundred fifty-seven million, five hundred thirteen thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 32 41 43 64 82 86 128 164 172 256 328 344 349 656 688 698 1312 1376 1396 1763 2624 2752 2792 3526 5248 5504 5584 7052 10496 11008 11168 14104 14309 15007 22336 28208 28618 30014 44672 56416 57236 60028 89344 112832 114472 120056 225664 228944 240112 451328 457888 480224 615287 915776 960448 1230574 1831552 1920896 2461148 3663104 3841792 4922296 9844592 19689184 39378368 78756736 157513472