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151044352 = 281095413
BaseRepresentation
bin10010000000011…
…00000100000000
3101112012211220021
421000030010000
5302131404402
622553223224
73512566354
oct1100140400
9345184807
10151044352
1178295948
1242701b14
13253a6374
14160bb464
15d3d8d37
hex900c100

151044352 has 36 divisors (see below), whose sum is σ = 304320940. Its totient is φ = 74815488.

The previous prime is 151044349. The next prime is 151044379. The reversal of 151044352 is 253440151.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 68161536 + 82882816 = 8256^2 + 9104^2 .

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25198 + ... + 30610.

Almost surely, 2151044352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151044352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152160470).

151044352 is an abundant number, since it is smaller than the sum of its proper divisors (153276588).

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

151044352 is an equidigital number, since it uses as much as digits as its factorization.

151044352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5538 (or 5524 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 151044352 is about 12290.0102522333. The cubic root of 151044352 is about 532.5595334117.

The spelling of 151044352 in words is "one hundred fifty-one million, forty-four thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 109 128 218 256 436 872 1744 3488 5413 6976 10826 13952 21652 27904 43304 86608 173216 346432 590017 692864 1180034 1385728 2360068 4720136 9440272 18880544 37761088 75522176 151044352