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521116002 = 2321119711951
BaseRepresentation
bin11111000011111…
…001100101100010
31100022120102202200
4133003321211202
52031401203002
6123413154030
715625261431
oct3703714542
91308512680
10521116002
1124817a190
1212662b916
1383c69484
144d2d1118
1530b39b1c
hex1f0f9962

521116002 has 96 divisors (see below), whose sum is σ = 1315491840. Its totient is φ = 147420000.

The previous prime is 521115997. The next prime is 521116003. The reversal of 521116002 is 200611125.

521116002 is a `hidden beast` number, since 52 + 1 + 11 + 600 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (521116003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 266127 + ... + 268077.

It is an arithmetic number, because the mean of its divisors is an integer number (13703040).

Almost surely, 2521116002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 521116002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657745920).

521116002 is an abundant number, since it is smaller than the sum of its proper divisors (794375838).

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

521116002 is a wasteful number, since it uses less digits than its factorization.

521116002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2060 (or 2057 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 521116002 is about 22827.9653495444. The cubic root of 521116002 is about 804.7200147658.

Adding to 521116002 its reverse (200611125), we get a palindrome (721727127).

The spelling of 521116002 in words is "five hundred twenty-one million, one hundred sixteen thousand, two".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 71 99 114 142 171 198 209 213 342 418 426 627 639 781 1254 1278 1349 1562 1881 1951 2343 2698 3762 3902 4047 4686 5853 7029 8094 11706 12141 14058 14839 17559 21461 24282 29678 35118 37069 42922 44517 64383 74138 89034 111207 128766 133551 138521 193149 222414 267102 277042 333621 386298 407759 415563 667242 815518 831126 1223277 1246689 1523731 2446554 2493378 2631899 3047462 3669831 4571193 5263798 7339662 7895697 9142386 13713579 15791394 23687091 27427158 28950889 47374182 57901778 86852667 173705334 260558001 521116002