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474415680 = 26353311493
BaseRepresentation
bin11100010001110…
…000001001000000
31020001200210222010
4130101300021000
51432422300210
6115024212520
714520316044
oct3421601100
91201623863
10474415680
11223882582
12112a6a140
1377397c4b
1447016024
152b9b2920
hex1c470240

474415680 has 112 divisors (see below), whose sum is σ = 1511832384. Its totient is φ = 126044160.

The previous prime is 474415679. The next prime is 474415691. The reversal of 474415680 is 86514474.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 317014 + ... + 318506.

Almost surely, 2474415680 is an apocalyptic number.

474415680 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 474415680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755916192).

474415680 is an abundant number, since it is smaller than the sum of its proper divisors (1037416704).

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

474415680 is a wasteful number, since it uses less digits than its factorization.

474415680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1844 (or 1834 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 474415680 is about 21781.0853724051. The cubic root of 474415680 is about 779.9253051418.

The spelling of 474415680 in words is "four hundred seventy-four million, four hundred fifteen thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 331 480 662 960 993 1324 1493 1655 1986 2648 2986 3310 3972 4479 4965 5296 5972 6620 7465 7944 8958 9930 10592 11944 13240 14930 15888 17916 19860 21184 22395 23888 26480 29860 31776 35832 39720 44790 47776 52960 59720 63552 71664 79440 89580 95552 105920 119440 143328 158880 179160 238880 286656 317760 358320 477760 494183 716640 988366 1433280 1482549 1976732 2470915 2965098 3953464 4941830 5930196 7412745 7906928 9883660 11860392 14825490 15813856 19767320 23720784 29650980 31627712 39534640 47441568 59301960 79069280 94883136 118603920 158138560 237207840 474415680