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151015552 = 271936113
BaseRepresentation
bin10010000000001…
…01000010000000
3101112011101101121
421000011002000
5302124444202
622552442024
73512416402
oct1100050200
9345141347
10151015552
1178276246
12426a9314
132539621c
14160b0b72
15d3d0537
hex9005080

151015552 has 32 divisors (see below), whose sum is σ = 302459580. Its totient is φ = 75104256.

The previous prime is 151015549. The next prime is 151015583. The reversal of 151015552 is 255510151.

It can be written as a sum of positive squares in 2 ways, for example, as 149230656 + 1784896 = 12216^2 + 1336^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

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, 21648 + ... + 27760.

Almost surely, 2151015552 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 151015552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151229790).

151015552 is an abundant number, since it is smaller than the sum of its proper divisors (151444028).

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

151015552 is an equidigital number, since it uses as much as digits as its factorization.

151015552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6320 (or 6308 counting only the distinct ones).

The product of its (nonzero) digits is 1250, while the sum is 25.

The square root of 151015552 is about 12288.8385130573. The cubic root of 151015552 is about 532.5256831125.

The spelling of 151015552 in words is "one hundred fifty-one million, fifteen thousand, five hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 128 193 386 772 1544 3088 6113 6176 12226 12352 24452 24704 48904 97808 195616 391232 782464 1179809 2359618 4719236 9438472 18876944 37753888 75507776 151015552