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427558716 = 2233132910501
BaseRepresentation
bin11001011111000…
…000011100111100
31002210112020022000
4121133000130330
51333423334331
6110232022300
713411121604
oct3137003474
91083466260
10427558716
111aa389212
12bb231990
136a770330
1440ad9c04
15278090e6
hex197c073c

427558716 has 96 divisors (see below), whose sum is σ = 1235035200. Its totient is φ = 127008000.

The previous prime is 427558697. The next prime is 427558741. The reversal of 427558716 is 617855724.

427558716 is a `hidden beast` number, since 4 + 27 + 558 + 71 + 6 = 666.

It is a super-3 number, since 3×4275587163 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35466 + ... + 45966.

It is an arithmetic number, because the mean of its divisors is an integer number (12864950).

Almost surely, 2427558716 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 427558716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617517600).

427558716 is an abundant number, since it is smaller than the sum of its proper divisors (807476484).

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

427558716 is a wasteful number, since it uses less digits than its factorization.

427558716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10556 (or 10548 counting only the distinct ones).

The product of its digits is 470400, while the sum is 45.

The square root of 427558716 is about 20677.4929815004. The cubic root of 427558716 is about 753.3531144900.

The spelling of 427558716 in words is "four hundred twenty-seven million, five hundred fifty-eight thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 29 36 39 52 54 58 78 87 108 116 117 156 174 234 261 348 351 377 468 522 702 754 783 1044 1131 1404 1508 1566 2262 3132 3393 4524 6786 10179 10501 13572 20358 21002 31503 40716 42004 63006 94509 126012 136513 189018 273026 283527 304529 378036 409539 546052 567054 609058 819078 913587 1134108 1218116 1228617 1638156 1827174 2457234 2740761 3654348 3685851 3958877 4914468 5481522 7371702 7917754 8222283 10963044 11876631 14743404 15835508 16444566 23753262 32889132 35629893 47506524 71259786 106889679 142519572 213779358 427558716