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158838912 = 2732173797
BaseRepresentation
bin10010111011110…
…11000010000000
3102001212212000200
421131323002000
5311130321122
623432245200
73636052131
oct1135730200
9361785020
10158838912
118172a031
1245240800
1326ba512b
1417149c88
15de285ac
hex977b080

158838912 has 96 divisors (see below), whose sum is σ = 460294380. Its totient is φ = 52574208.

The previous prime is 158838899. The next prime is 158838919. The reversal of 158838912 is 219838851.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 150405696 + 8433216 = 12264^2 + 2904^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (158838919) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 198898 + ... + 199694.

Almost surely, 2158838912 is an apocalyptic number.

158838912 is a gapful number since it is divisible by the number (12) 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 158838912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230147190).

158838912 is an abundant number, since it is smaller than the sum of its proper divisors (301455468).

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

158838912 is a wasteful number, since it uses less digits than its factorization.

158838912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 975 counting only the distinct ones).

The product of its digits is 138240, while the sum is 45.

The square root of 158838912 is about 12603.1310395473. The cubic root of 158838912 is about 541.5671348587.

The spelling of 158838912 in words is "one hundred fifty-eight million, eight hundred thirty-eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 173 192 288 346 384 519 576 692 797 1038 1152 1384 1557 1594 2076 2391 2768 3114 3188 4152 4782 5536 6228 6376 7173 8304 9564 11072 12456 12752 14346 16608 19128 22144 24912 25504 28692 33216 38256 49824 51008 57384 66432 76512 99648 102016 114768 137881 153024 199296 229536 275762 306048 413643 459072 551524 827286 918144 1103048 1240929 1654572 2206096 2481858 3309144 4412192 4963716 6618288 8824384 9927432 13236576 17648768 19854864 26473152 39709728 52946304 79419456 158838912