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149788992 = 2637310687
BaseRepresentation
bin10001110110110…
…01100101000000
3101102212001212110
420323121211000
5301321221432
622510255320
73466120413
oct1073314500
9342761773
10149788992
1177608761
12421b7540
1325056b52
1415c71b7a
15d23bdcc
hex8ed9940

149788992 has 56 divisors (see below), whose sum is σ = 401783296. Its totient is φ = 49241088.

The previous prime is 149788981. The next prime is 149789009. The reversal of 149788992 is 299887941.

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, 8673 + ... + 19359.

Almost surely, 2149788992 is an apocalyptic number.

149788992 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 149788992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200891648).

149788992 is an abundant number, since it is smaller than the sum of its proper divisors (251994304).

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

149788992 is a wasteful number, since it uses less digits than its factorization.

149788992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10775 (or 10765 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 57.

The square root of 149788992 is about 12238.8313167557. The cubic root of 149788992 is about 531.0800238310.

The spelling of 149788992 in words is "one hundred forty-nine million, seven hundred eighty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 96 146 192 219 292 438 584 876 1168 1752 2336 3504 4672 7008 10687 14016 21374 32061 42748 64122 85496 128244 170992 256488 341984 512976 683968 780151 1025952 1560302 2051904 2340453 3120604 4680906 6241208 9361812 12482416 18723624 24964832 37447248 49929664 74894496 149788992