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157249344 = 2637235087
BaseRepresentation
bin10010101111101…
…10111101000000
3101221220002112210
421113312331000
5310223434334
623334222120
73616411620
oct1127667500
9357802483
10157249344
118084383a
12447b4940
1326769765
1416c54880
15dc125e9
hex95f6f40

157249344 has 112 divisors (see below), whose sum is σ = 496263168. Its totient is φ = 42966528.

The previous prime is 157249327. The next prime is 157249349. The reversal of 157249344 is 443942751.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157249349) 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, 28369 + ... + 33455.

Almost surely, 2157249344 is an apocalyptic number.

157249344 is a gapful number since it is divisible by the number (14) 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 157249344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248131584).

157249344 is an abundant number, since it is smaller than the sum of its proper divisors (339013824).

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

157249344 is a wasteful number, since it uses less digits than its factorization.

157249344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5132 (or 5122 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 157249344 is about 12539.9100475243. The cubic root of 157249344 is about 539.7545111864.

The spelling of 157249344 in words is "one hundred fifty-seven million, two hundred forty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 64 69 84 92 96 112 138 161 168 184 192 224 276 322 336 368 448 483 552 644 672 736 966 1104 1288 1344 1472 1932 2208 2576 3864 4416 5087 5152 7728 10174 10304 15261 15456 20348 30522 30912 35609 40696 61044 71218 81392 106827 117001 122088 142436 162784 213654 234002 244176 284872 325568 351003 427308 468004 488352 569744 702006 819007 854616 936008 976704 1139488 1404012 1638014 1709232 1872016 2278976 2457021 2808024 3276028 3418464 3744032 4914042 5616048 6552056 6836928 7488064 9828084 11232096 13104112 19656168 22464192 26208224 39312336 52416448 78624672 157249344