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157949148 = 22372436247
BaseRepresentation
bin10010110101000…
…01110011011100
3102000012122111110
421122201303130
5310413333043
623401222020
73625355100
oct1132416334
9360178443
10157949148
1181181595
1244a91910
1326953146
1416d97900
15dceeb33
hex96a1cdc

157949148 has 72 divisors (see below), whose sum is σ = 438759552. Its totient is φ = 44071776.

The previous prime is 157949131. The next prime is 157949213. The reversal of 157949148 is 841949751.

157949148 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 157949097 and 157949106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22161 + ... + 28407.

Almost surely, 2157949148 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 157949148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219379776).

157949148 is an abundant number, since it is smaller than the sum of its proper divisors (280810404).

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

157949148 is a wasteful number, since it uses less digits than its factorization.

157949148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6311 (or 6302 counting only the distinct ones).

The product of its digits is 362880, while the sum is 48.

The square root of 157949148 is about 12567.7821432423. The cubic root of 157949148 is about 540.5540130346.

It can be divided in two parts, 15794 and 9148, that added together give a palindrome (24942).

The spelling of 157949148 in words is "one hundred fifty-seven million, nine hundred forty-nine thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 49 84 86 98 129 147 172 196 258 294 301 516 588 602 903 1204 1806 2107 3612 4214 6247 6321 8428 12494 12642 18741 24988 25284 37482 43729 74964 87458 131187 174916 262374 268621 306103 524748 537242 612206 805863 918309 1074484 1224412 1611726 1836618 1880347 3223452 3673236 3760694 5641041 7521388 11282082 13162429 22564164 26324858 39487287 52649716 78974574 157949148