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157149048 = 23371735407
BaseRepresentation
bin10010101110111…
…10011101111000
3101221200222222010
421113132131320
5310212232143
623332125520
73615513330
oct1127363570
9357628863
10157149048
1180785451
12447668a0
1326732c04
1416c2a0c0
15dbe2a33
hex95de778

157149048 has 64 divisors (see below), whose sum is σ = 451676160. Its totient is φ = 44631936.

The previous prime is 157149029. The next prime is 157149049. The reversal of 157149048 is 840941751.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 157148997 and 157149015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157149049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26361 + ... + 31767.

It is an arithmetic number, because the mean of its divisors is an integer number (7057440).

Almost surely, 2157149048 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 157149048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225838080).

157149048 is an abundant number, since it is smaller than the sum of its proper divisors (294527112).

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

157149048 is a wasteful number, since it uses less digits than its factorization.

157149048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5596 (or 5592 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 157149048 is about 12535.9103379053. The cubic root of 157149048 is about 539.6397322615.

The spelling of 157149048 in words is "one hundred fifty-seven million, one hundred forty-nine thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 173 346 519 692 1038 1211 1384 2076 2422 3633 4152 4844 5407 7266 9688 10814 14532 16221 21628 29064 32442 37849 43256 64884 75698 113547 129768 151396 227094 302792 454188 908376 935411 1870822 2806233 3741644 5612466 6547877 7483288 11224932 13095754 19643631 22449864 26191508 39287262 52383016 78574524 157149048