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427251252 = 223195233583
BaseRepresentation
bin11001011101110…
…101011000110100
31002202221121112110
4121131311120310
51333334020002
6110221251020
713405401321
oct3135653064
91082847473
10427251252
111aa19920a
12bb103a70
136a6933bc
1440a59b48
1527797e6c
hex19775634

427251252 has 48 divisors (see below), whose sum is σ = 1051688960. Its totient is φ = 134625888.

The previous prime is 427251221. The next prime is 427251257. The reversal of 427251252 is 252152724.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427251257) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117453 + ... + 121035.

Almost surely, 2427251252 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 427251252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525844480).

427251252 is an abundant number, since it is smaller than the sum of its proper divisors (624437708).

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

427251252 is a wasteful number, since it uses less digits than its factorization.

427251252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4132 (or 4130 counting only the distinct ones).

The product of its digits is 11200, while the sum is 30.

The square root of 427251252 is about 20670.0568939710. The cubic root of 427251252 is about 753.1724886109.

The spelling of 427251252 in words is "four hundred twenty-seven million, two hundred fifty-one thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 523 1046 1569 2092 3138 3583 6276 7166 9937 10749 14332 19874 21498 29811 39748 42996 59622 68077 119244 136154 204231 272308 408462 816924 1873909 3747818 5621727 7495636 11243454 22486908 35604271 71208542 106812813 142417084 213625626 427251252