Search a number
-
+
157696896 = 2737217229
BaseRepresentation
bin10010110011001…
…00001110000000
3101222201211110210
421121210032000
5310332300041
623351554120
73623254500
oct1131441600
9358654423
10157696896
118101a015
124498b940
1326895396
1416d2da00
15dca0016
hex9664380

157696896 has 288 divisors, whose sum is σ = 535469400. Its totient is φ = 40943616.

The previous prime is 157696871. The next prime is 157696927. The reversal of 157696896 is 698696751.

It is a happy number.

It is a super-2 number, since 2×1576968962 = 49736622016069632, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5437810 + ... + 5437838.

Almost surely, 2157696896 is an apocalyptic number.

157696896 is a gapful number since it is divisible by the number (16) 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 157696896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267734700).

157696896 is an abundant number, since it is smaller than the sum of its proper divisors (377772504).

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

157696896 is a wasteful number, since it uses less digits than its factorization.

157696896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 58 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 57.

The square root of 157696896 is about 12557.7424722758. The cubic root of 157696896 is about 540.2660965629.

The spelling of 157696896 in words is "one hundred fifty-seven million, six hundred ninety-six thousand, eight hundred ninety-six".