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427915152 = 24327424519
BaseRepresentation
bin11001100000010…
…111011110010000
31002211012100020100
4121200113132100
51334021241102
6110243412400
713414135020
oct3140273620
91084170210
10427915152
111aa601a95
12bb384100
136a866642
1440b8da80
1527879a1c
hex19817790

427915152 has 60 divisors (see below), whose sum is σ = 1368652480. Its totient is φ = 122261184.

The previous prime is 427915151. The next prime is 427915153. The reversal of 427915152 is 251519724.

It is an interprime number because it is at equal distance from previous prime (427915151) and next prime (427915153).

It is a super-2 number, since 2×4279151522 = 366222754622366208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (427915151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 211252 + ... + 213267.

Almost surely, 2427915152 is an apocalyptic number.

427915152 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

427915152 is an abundant number, since it is smaller than the sum of its proper divisors (940737328).

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

427915152 is a wasteful number, since it uses less digits than its factorization.

427915152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424540 (or 424531 counting only the distinct ones).

The product of its digits is 25200, while the sum is 36.

The square root of 427915152 is about 20686.1101224952. The cubic root of 427915152 is about 753.5624016023.

The spelling of 427915152 in words is "four hundred twenty-seven million, nine hundred fifteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 424519 849038 1273557 1698076 2547114 2971633 3396152 3820671 5094228 5943266 6792304 7641342 8914899 10188456 11886532 15282684 17829798 20376912 23773064 26744697 30565368 35659596 47546128 53489394 61130736 71319192 106978788 142638384 213957576 427915152