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157426368 = 26311131569
BaseRepresentation
bin10010110001000…
…10001011000000
3101222020002101020
421120202023000
5310300120433
623342105440
73621050001
oct1130421300
9358202336
10157426368
1180954840
124487b280
13267cc1c8
1416c9d1a8
15dc49cb3
hex96222c0

157426368 has 112 divisors (see below), whose sum is σ = 458663040. Its totient is φ = 47257600.

The previous prime is 157426363. The next prime is 157426403. The reversal of 157426368 is 863624751.

It is a super-2 number, since 2×1574263682 = 49566122683342848, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (157426363) 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, 276388 + ... + 276956.

Almost surely, 2157426368 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 157426368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229331520).

157426368 is an abundant number, since it is smaller than the sum of its proper divisors (301236672).

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

157426368 is a wasteful number, since it uses less digits than its factorization.

157426368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 716 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 157426368 is about 12546.9664859678. The cubic root of 157426368 is about 539.9569787400.

The spelling of 157426368 in words is "one hundred fifty-seven million, four hundred twenty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 131 132 176 192 262 264 352 393 524 528 569 704 786 1048 1056 1138 1441 1572 1707 2096 2112 2276 2882 3144 3414 4192 4323 4552 5764 6259 6288 6828 8384 8646 9104 11528 12518 12576 13656 17292 18208 18777 23056 25036 25152 27312 34584 36416 37554 46112 50072 54624 69168 74539 75108 92224 100144 109248 138336 149078 150216 200288 223617 276672 298156 300432 400576 447234 596312 600864 819929 894468 1192624 1201728 1639858 1788936 2385248 2459787 3279716 3577872 4770496 4919574 6559432 7155744 9839148 13118864 14311488 19678296 26237728 39356592 52475456 78713184 157426368