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474882520 = 23572733319
BaseRepresentation
bin11100010011100…
…010000111011000
31020002120112100111
4130103202013120
51433032220040
6115042214104
714524302100
oct3423420730
91202515314
10474882520
112240712a2
12113054334
13774cc598
14470d8200
152ba55dea
hex1c4e21d8

474882520 has 96 divisors (see below), whose sum is σ = 1260338400. Its totient is φ = 160538112.

The previous prime is 474882503. The next prime is 474882553. The reversal of 474882520 is 25288474.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141421 + ... + 144739.

It is an arithmetic number, because the mean of its divisors is an integer number (13128525).

Almost surely, 2474882520 is an apocalyptic number.

474882520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 474882520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630169200).

474882520 is an abundant number, since it is smaller than the sum of its proper divisors (785455880).

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

474882520 is a wasteful number, since it uses less digits than its factorization.

474882520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3417 (or 3406 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 40.

The square root of 474882520 is about 21791.7993749943. The cubic root of 474882520 is about 780.1810449788.

The spelling of 474882520 in words is "four hundred seventy-four million, eight hundred eighty-two thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 73 98 140 146 196 245 280 292 365 392 490 511 584 730 980 1022 1460 1960 2044 2555 2920 3319 3577 4088 5110 6638 7154 10220 13276 14308 16595 17885 20440 23233 26552 28616 33190 35770 46466 66380 71540 92932 116165 132760 143080 162631 185864 232330 242287 325262 464660 484574 650524 813155 929320 969148 1211435 1301048 1626310 1696009 1938296 2422870 3252620 3392018 4845740 6505240 6784036 8480045 9691480 11872063 13568072 16960090 23744126 33920180 47488252 59360315 67840360 94976504 118720630 237441260 474882520