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149257836 = 223371315187
BaseRepresentation
bin10001110010101…
…11111001101100
3101101212002021000
420321113321230
5301202222321
622451040300
73461446020
oct1071277154
9341762230
10149257836
1177285692
1241ba0090
1324bcc160
1415b74380
15d184826
hex8e57e6c

149257836 has 96 divisors (see below), whose sum is σ = 476295680. Its totient is φ = 39362112.

The previous prime is 149257819. The next prime is 149257847. The reversal of 149257836 is 638752941.

149257836 is a `hidden beast` number, since 1 + 49 + 2 + 578 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 149257791 and 149257800.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2235 + ... + 17421.

Almost surely, 2149257836 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 149257836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238147840).

149257836 is an abundant number, since it is smaller than the sum of its proper divisors (327037844).

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

149257836 is a wasteful number, since it uses less digits than its factorization.

149257836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15220 (or 15212 counting only the distinct ones).

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

The square root of 149257836 is about 12217.1124247917. The cubic root of 149257836 is about 530.4515387768.

The spelling of 149257836 in words is "one hundred forty-nine million, two hundred fifty-seven thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 84 91 108 117 126 156 182 189 234 252 273 351 364 378 468 546 702 756 819 1092 1404 1638 2457 3276 4914 9828 15187 30374 45561 60748 91122 106309 136683 182244 197431 212618 273366 318927 394862 410049 425236 546732 592293 637854 789724 820098 956781 1184586 1275708 1382017 1640196 1776879 1913562 2369172 2764034 2870343 3553758 3827124 4146051 5330637 5528068 5740686 7107516 8292102 10661274 11481372 12438153 16584204 21322548 24876306 37314459 49752612 74628918 149257836