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479523252 = 2231331229433
BaseRepresentation
bin11100100101001…
…111000110110100
31020102022022020110
4130211033012310
51440224221002
6115325503020
714611610655
oct3445170664
91212268213
10479523252
11226750a0a
12114711a70
1378465990
144798552c
152c170e6c
hex1c94f1b4

479523252 has 96 divisors (see below), whose sum is σ = 1252142080. Its totient is φ = 141834240.

The previous prime is 479523241. The next prime is 479523269. The reversal of 479523252 is 252325974.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 479523252.

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, 1107228 + ... + 1107660.

Almost surely, 2479523252 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 479523252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626071040).

479523252 is an abundant number, since it is smaller than the sum of its proper divisors (772618828).

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

479523252 is a wasteful number, since it uses less digits than its factorization.

479523252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 711 counting only the distinct ones).

The product of its digits is 151200, while the sum is 39.

The square root of 479523252 is about 21898.0193624903. The cubic root of 479523252 is about 782.7142194033.

The spelling of 479523252 in words is "four hundred seventy-nine million, five hundred twenty-three thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 13 26 31 39 52 62 78 93 124 156 186 229 372 403 433 458 687 806 866 916 1209 1299 1374 1612 1732 2418 2598 2748 2977 4836 5196 5629 5954 7099 8931 11258 11908 13423 14198 16887 17862 21297 22516 26846 28396 33774 35724 40269 42594 53692 67548 80538 85188 92287 99157 161076 174499 184574 198314 276861 297471 348998 369148 396628 523497 553722 594942 697996 1046994 1107444 1189884 1289041 2093988 2578082 3073867 3867123 5156164 6147734 7734246 9221601 12295468 15468492 18443202 36886404 39960271 79920542 119880813 159841084 239761626 479523252