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149537268 = 22324788379
BaseRepresentation
bin10001110100111…
…00000111110100
3101102101021120100
420322130013310
5301240143033
622501034100
73464021466
oct1072340764
9342337510
10149537268
1177456621
12420b5930
1324c993ba
1415c08136
15d1dc513
hex8e9c1f4

149537268 has 36 divisors (see below), whose sum is σ = 386043840. Its totient is φ = 48784656.

The previous prime is 149537203. The next prime is 149537279. The reversal of 149537268 is 862735941.

149537268 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1495372682 = 44722789041807648, 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 11 ways as a sum of consecutive naturals, for example, 42498 + ... + 45881.

It is an arithmetic number, because the mean of its divisors is an integer number (10723440).

Almost surely, 2149537268 is an apocalyptic number.

149537268 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

149537268 is an abundant number, since it is smaller than the sum of its proper divisors (236506572).

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

149537268 is a wasteful number, since it uses less digits than its factorization.

149537268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88436 (or 88431 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 149537268 is about 12228.5431675241. The cubic root of 149537268 is about 530.7823594445.

The spelling of 149537268 in words is "one hundred forty-nine million, five hundred thirty-seven thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 564 846 1692 88379 176758 265137 353516 530274 795411 1060548 1590822 3181644 4153813 8307626 12461439 16615252 24922878 37384317 49845756 74768634 149537268