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149857656 = 233132411993
BaseRepresentation
bin10001110111010…
…10010101111000
3101102222120001120
420323222111320
5301330421111
622511545240
73466524534
oct1073522570
9342876046
10149857656
1177655303
124222b220
132507c190
1415c8cbc4
15d252406
hex8eea578

149857656 has 64 divisors (see below), whose sum is σ = 405340320. Its totient is φ = 45895680.

The previous prime is 149857633. The next prime is 149857657. The reversal of 149857656 is 656758941.

149857656 is digitally balanced in base 3, 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 = 149857599 and 149857608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149857657) 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, 74196 + ... + 76188.

Almost surely, 2149857656 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 149857656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202670160).

149857656 is an abundant number, since it is smaller than the sum of its proper divisors (255482664).

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

149857656 is a wasteful number, since it uses less digits than its factorization.

149857656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2256 (or 2252 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 51.

The square root of 149857656 is about 12241.6361651537. The cubic root of 149857656 is about 531.1611613200.

The spelling of 149857656 in words is "one hundred forty-nine million, eight hundred fifty-seven thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 241 312 482 723 964 1446 1928 1993 2892 3133 3986 5784 5979 6266 7972 9399 11958 12532 15944 18798 23916 25064 25909 37596 47832 51818 75192 77727 103636 155454 207272 310908 480313 621816 960626 1440939 1921252 2881878 3842504 5763756 6244069 11527512 12488138 18732207 24976276 37464414 49952552 74928828 149857656