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481349376 = 2832593541
BaseRepresentation
bin11100101100001…
…100111100000000
31020112202002012200
4130230030330000
51441211140001
6115432553200
714633254644
oct3454147400
91215662180
10481349376
11227788a02
12115252800
1378954c21
1447cdcc24
152c3d2086
hex1cb0cf00

481349376 has 108 divisors (see below), whose sum is σ = 1411770360. Its totient is φ = 157685760.

The previous prime is 481349357. The next prime is 481349381. The reversal of 481349376 is 673943184.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 134166 + ... + 137706.

Almost surely, 2481349376 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 481349376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705885180).

481349376 is an abundant number, since it is smaller than the sum of its proper divisors (930420984).

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

481349376 is a wasteful number, since it uses less digits than its factorization.

481349376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3622 (or 3605 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 481349376 is about 21939.6758408141. The cubic root of 481349376 is about 783.7065401754.

The spelling of 481349376 in words is "four hundred eighty-one million, three hundred forty-nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 64 72 96 118 128 144 177 192 236 256 288 354 384 472 531 576 708 768 944 1062 1152 1416 1888 2124 2304 2832 3541 3776 4248 5664 7082 7552 8496 10623 11328 14164 15104 16992 21246 22656 28328 31869 33984 42492 45312 56656 63738 67968 84984 113312 127476 135936 169968 208919 226624 254952 339936 417838 453248 509904 626757 679872 835676 906496 1019808 1253514 1359744 1671352 1880271 2039616 2507028 2719488 3342704 3760542 4079232 5014056 6685408 7521084 8158464 10028112 13370816 15042168 20056224 26741632 30084336 40112448 53483264 60168672 80224896 120337344 160449792 240674688 481349376