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149927936 = 211193853
BaseRepresentation
bin10001110111110…
…11100000000000
3101110010010110112
420323323200000
5301340143221
622513250452
73500236454
oct1073734000
9343103415
10149927936
11776a3094
1242263a28
13250a5172
1415caa664
15d26815b
hex8efb800

149927936 has 48 divisors (see below), whose sum is σ = 315642600. Its totient is φ = 71000064.

The previous prime is 149927929. The next prime is 149927951. The reversal of 149927936 is 639729941.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 36986 + ... + 40838.

Almost surely, 2149927936 is an apocalyptic number.

149927936 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 149927936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157821300).

149927936 is an abundant number, since it is smaller than the sum of its proper divisors (165714664).

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

149927936 is an equidigital number, since it uses as much as digits as its factorization.

149927936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3894 (or 3874 counting only the distinct ones).

The product of its digits is 734832, while the sum is 50.

The square root of 149927936 is about 12244.5063599967. The cubic root of 149927936 is about 531.2441827091.

The spelling of 149927936 in words is "one hundred forty-nine million, nine hundred twenty-seven thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 512 608 1024 1216 2048 2432 3853 4864 7706 9728 15412 19456 30824 38912 61648 73207 123296 146414 246592 292828 493184 585656 986368 1171312 1972736 2342624 3945472 4685248 7890944 9370496 18740992 37481984 74963968 149927936