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527694420 = 2235116771181
BaseRepresentation
bin11111011100111…
…111101001010100
31100202221122122210
4133130333221110
52040042210140
6124210153420
716035220461
oct3734775124
91322848583
10527694420
112509626a0
12128882870
1385430826
1450124668
15314d8d80
hex1f73fa54

527694420 has 96 divisors (see below), whose sum is σ = 1615614336. Its totient is φ = 127628800.

The previous prime is 527694383. The next prime is 527694437. The reversal of 527694420 is 24496725.

It is a super-2 number, since 2×5276944202 = 556922801798272800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 446230 + ... + 447410.

It is an arithmetic number, because the mean of its divisors is an integer number (16829316).

Almost surely, 2527694420 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 527694420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807807168).

527694420 is an abundant number, since it is smaller than the sum of its proper divisors (1087919916).

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

527694420 is a wasteful number, since it uses less digits than its factorization.

527694420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1881 (or 1879 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 527694420 is about 22971.6002925351. The cubic root of 527694420 is about 808.0920495235.

The spelling of 527694420 in words is "five hundred twenty-seven million, six hundred ninety-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 677 1181 1354 2031 2362 2708 3385 3543 4062 4724 5905 6770 7086 7447 8124 10155 11810 12991 13540 14172 14894 17715 20310 22341 23620 25982 29788 35430 37235 38973 40620 44682 51964 64955 70860 74470 77946 89364 111705 129910 148940 155892 194865 223410 259820 389730 446820 779460 799537 1599074 2398611 3198148 3997685 4797222 7995370 8794907 9594444 11993055 15990740 17589814 23986110 26384721 35179628 43974535 47972220 52769442 87949070 105538884 131923605 175898140 263847210 527694420