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149571456 = 2731273067
BaseRepresentation
bin10001110101001…
…00011110000000
3101102110000110120
420322210132000
5301242241311
622501500240
73464223246
oct1072443600
9342400416
10149571456
117747a281
1242111680
1324cabb28
1415c16796
15d1e7706
hex8ea4780

149571456 has 64 divisors (see below), whose sum is σ = 400558080. Its totient is φ = 49448448.

The previous prime is 149571449. The next prime is 149571463. The reversal of 149571456 is 654175941.

It is an interprime number because it is at equal distance from previous prime (149571449) and next prime (149571463).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47235 + ... + 50301.

It is an arithmetic number, because the mean of its divisors is an integer number (6258720).

Almost surely, 2149571456 is an apocalyptic number.

149571456 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 149571456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200279040).

149571456 is an abundant number, since it is smaller than the sum of its proper divisors (250986624).

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

149571456 is a wasteful number, since it uses less digits than its factorization.

149571456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3211 (or 3199 counting only the distinct ones).

The product of its digits is 151200, while the sum is 42.

The square root of 149571456 is about 12229.9409646981. The cubic root of 149571456 is about 530.8228064511.

The spelling of 149571456 in words is "one hundred forty-nine million, five hundred seventy-one thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 128 192 254 381 384 508 762 1016 1524 2032 3048 3067 4064 6096 6134 8128 9201 12192 12268 16256 18402 24384 24536 36804 48768 49072 73608 98144 147216 196288 294432 389509 392576 588864 779018 1168527 1177728 1558036 2337054 3116072 4674108 6232144 9348216 12464288 18696432 24928576 37392864 49857152 74785728 149571456