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521630676 = 223272319539
BaseRepresentation
bin11111000101110…
…111001111010100
31100100112120202200
4133011313033110
52032014140201
6123432204500
715632534100
oct3705671724
91310476680
10521630676
112484a0936
12126839730
13840b9808
144d3c6900
1530bdc386
hex1f1773d4

521630676 has 108 divisors (see below), whose sum is σ = 1583487360. Its totient is φ = 144214560.

The previous prime is 521630633. The next prime is 521630677. The reversal of 521630676 is 676036125.

521630676 is a `hidden beast` number, since 521 + 63 + 0 + 6 + 76 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 521630676.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (521630677) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 49915 + ... + 59453.

It is an arithmetic number, because the mean of its divisors is an integer number (14661920).

Almost surely, 2521630676 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 521630676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791743680).

521630676 is an abundant number, since it is smaller than the sum of its proper divisors (1061856684).

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

521630676 is a wasteful number, since it uses less digits than its factorization.

521630676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9594 (or 9582 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 521630676 is about 22839.2354513018. The cubic root of 521630676 is about 804.9848516368.

The spelling of 521630676 in words is "five hundred twenty-one million, six hundred thirty thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 49 62 63 84 93 98 124 126 147 186 196 217 252 279 294 372 434 441 558 588 651 868 882 1116 1302 1519 1764 1953 2604 3038 3906 4557 6076 7812 9114 9539 13671 18228 19078 27342 28617 38156 54684 57234 66773 85851 114468 133546 171702 200319 267092 295709 343404 400638 467411 591418 600957 801276 887127 934822 1182836 1201914 1402233 1774254 1869644 2069963 2403828 2661381 2804466 3548508 4139926 4206699 5322762 5608932 6209889 8279852 8413398 10645524 12419778 14489741 16826796 18629667 24839556 28979482 37259334 43469223 57958964 74518668 86938446 130407669 173876892 260815338 521630676