Search a number
-
+
149564256 = 2537272143
BaseRepresentation
bin10001110101000…
…10101101100000
3101102102122120220
420322202231200
5301242024011
622501403040
73464163252
oct1072425540
9342378526
10149564256
1177474926
1242109480
1324ca877a
1415c13cd2
15d1e5506
hex8ea2b60

149564256 has 48 divisors (see below), whose sum is σ = 393329664. Its totient is φ = 49762944.

The previous prime is 149564231. The next prime is 149564267. The reversal of 149564256 is 652465941.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68721 + ... + 70863.

It is an arithmetic number, because the mean of its divisors is an integer number (8194368).

Almost surely, 2149564256 is an apocalyptic number.

149564256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

149564256 is an abundant number, since it is smaller than the sum of its proper divisors (243765408).

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

149564256 is a wasteful number, since it uses less digits than its factorization.

149564256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2883 (or 2875 counting only the distinct ones).

The product of its digits is 259200, while the sum is 42.

The square root of 149564256 is about 12229.6466015989. The cubic root of 149564256 is about 530.8142888154.

The spelling of 149564256 in words is "one hundred forty-nine million, five hundred sixty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 727 1454 2143 2181 2908 4286 4362 5816 6429 8572 8724 11632 12858 17144 17448 23264 25716 34288 34896 51432 68576 69792 102864 205728 1557961 3115922 4673883 6231844 9347766 12463688 18695532 24927376 37391064 49854752 74782128 149564256