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474133980 = 2235192511657
BaseRepresentation
bin11100010000101…
…011010111011100
31020001011111112210
4130100223113130
51432334241410
6115014200420
714515033545
oct3420532734
91201144483
10474133980
112236aa971
12112953110
13772c9968
1446d814cc
152b959220
hex1c42b5dc

474133980 has 96 divisors (see below), whose sum is σ = 1403861760. Its totient is φ = 119232000.

The previous prime is 474133973. The next prime is 474133987. The reversal of 474133980 is 89331474.

It is an interprime number because it is at equal distance from previous prime (474133973) and next prime (474133987).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (474133987) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 285312 + ... + 286968.

It is an arithmetic number, because the mean of its divisors is an integer number (14623560).

Almost surely, 2474133980 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 474133980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701930880).

474133980 is an abundant number, since it is smaller than the sum of its proper divisors (929727780).

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

474133980 is a wasteful number, since it uses less digits than its factorization.

474133980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1939 (or 1937 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 474133980 is about 21774.6177922828. The cubic root of 474133980 is about 779.7709057632.

The spelling of 474133980 in words is "four hundred seventy-four million, one hundred thirty-three thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 251 285 380 502 570 753 1004 1140 1255 1506 1657 2510 3012 3314 3765 4769 4971 5020 6628 7530 8285 9538 9942 14307 15060 16570 19076 19884 23845 24855 28614 31483 33140 47690 49710 57228 62966 71535 94449 95380 99420 125932 143070 157415 188898 286140 314830 377796 415907 472245 629660 831814 944490 1247721 1663628 1888980 2079535 2495442 4159070 4990884 6238605 7902233 8318140 12477210 15804466 23706699 24954420 31608932 39511165 47413398 79022330 94826796 118533495 158044660 237066990 474133980