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157814352 = 2433401911
BaseRepresentation
bin10010110100000…
…00111001010000
3101222221210121000
421122000321100
5310400024402
623354302000
73624254103
oct1132007120
9358853530
10157814352
118109a293
1244a27900
1326906997
1416d6073a
15dcc4c1c
hex9680e50

157814352 has 80 divisors (see below), whose sum is σ = 454613760. Its totient is φ = 52416000.

The previous prime is 157814347. The next prime is 157814353. The reversal of 157814352 is 253418751.

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 (157814353) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172777 + ... + 173687.

It is an arithmetic number, because the mean of its divisors is an integer number (5682672).

Almost surely, 2157814352 is an apocalyptic number.

157814352 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 157814352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227306880).

157814352 is an abundant number, since it is smaller than the sum of its proper divisors (296799408).

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

157814352 is a wasteful number, since it uses less digits than its factorization.

157814352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1329 (or 1317 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 157814352 is about 12562.4182385399. The cubic root of 157814352 is about 540.4001971654.

The spelling of 157814352 in words is "one hundred fifty-seven million, eight hundred fourteen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 401 432 802 911 1203 1604 1822 2406 2733 3208 3609 3644 4812 5466 6416 7218 7288 8199 9624 10827 10932 14436 14576 16398 19248 21654 21864 24597 28872 32796 43308 43728 49194 57744 65592 86616 98388 131184 173232 196776 365311 393552 730622 1095933 1461244 2191866 2922488 3287799 4383732 5844976 6575598 8767464 9863397 13151196 17534928 19726794 26302392 39453588 52604784 78907176 157814352