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427318254 = 23411376481
BaseRepresentation
bin11001011110000…
…101101111101110
31002210002000110000
4121132011233232
51333343141004
6110222525130
713406100546
oct3136055756
91083060400
10427318254
111aa234590
12bb1367a6
136a6b7a4c
1440a76326
15277acc39
hex19785bee

427318254 has 80 divisors (see below), whose sum is σ = 1072952496. Its totient is φ = 125971200.

The previous prime is 427318253. The next prime is 427318289. The reversal of 427318254 is 452813724.

It is a happy number.

427318254 is a `hidden beast` number, since 427 + 3 + 182 + 54 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427318253) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 62694 + ... + 69174.

Almost surely, 2427318254 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427318254, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536476248).

427318254 is an abundant number, since it is smaller than the sum of its proper divisors (645634242).

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

427318254 is a wasteful number, since it uses less digits than its factorization.

427318254 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6543 (or 6534 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 427318254 is about 20671.6775806900. The cubic root of 427318254 is about 753.2118576591.

The spelling of 427318254 in words is "four hundred twenty-seven million, three hundred eighteen thousand, two hundred fifty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 37 54 66 74 81 99 111 162 198 222 297 333 407 594 666 814 891 999 1221 1782 1998 2442 2997 3663 5994 6481 7326 10989 12962 19443 21978 32967 38886 58329 65934 71291 116658 142582 174987 213873 239797 349974 427746 479594 524961 641619 719391 1049922 1283238 1438782 1924857 2158173 2637767 3849714 4316346 5275534 5774571 6474519 7913301 11549142 12949038 15826602 19423557 23739903 38847114 47479806 71219709 142439418 213659127 427318254