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149459456 = 292511163
BaseRepresentation
bin10001110100010…
…01001000000000
3101102020022211102
420322021020000
5301230200311
622455233532
73463245566
oct1072111000
9342208742
10149459456
1177403113
12420788a8
1324c6cb63
1415bc7a36
15d1c443b
hex8e89200

149459456 has 40 divisors (see below), whose sum is σ = 300074544. Its totient is φ = 74368000.

The previous prime is 149459423. The next prime is 149459459. The reversal of 149459456 is 654954941.

149459456 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 149459456.

It is not an unprimeable number, because it can be changed into a prime (149459459) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 127931 + ... + 129093.

Almost surely, 2149459456 is an apocalyptic number.

149459456 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 149459456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150037272).

149459456 is an abundant number, since it is smaller than the sum of its proper divisors (150615088).

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

149459456 is an equidigital number, since it uses as much as digits as its factorization.

149459456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1432 (or 1416 counting only the distinct ones).

The product of its digits is 777600, while the sum is 47.

The square root of 149459456 is about 12225.3611807586. The cubic root of 149459456 is about 530.6902789367.

The spelling of 149459456 in words is "one hundred forty-nine million, four hundred fifty-nine thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 128 251 256 502 512 1004 1163 2008 2326 4016 4652 8032 9304 16064 18608 32128 37216 64256 74432 128512 148864 291913 297728 583826 595456 1167652 2335304 4670608 9341216 18682432 37364864 74729728 149459456