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481359648 = 25371165119
BaseRepresentation
bin11100101100001…
…111011100100000
31020112202121022010
4130230033130200
51441212002043
6115433112520
714633326620
oct3454173440
91215677263
10481359648
112277956a0
12115258740
13789597c3
1447d02880
152c3d5133
hex1cb0f720

481359648 has 96 divisors (see below), whose sum is σ = 1575383040. Its totient is φ = 125026560.

The previous prime is 481359647. The next prime is 481359653. The reversal of 481359648 is 846953184.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×4813596482 = 463414221445367808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 481359597 and 481359606.

It is not an unprimeable number, because it can be changed into a prime (481359643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25168 + ... + 39951.

It is an arithmetic number, because the mean of its divisors is an integer number (16410240).

Almost surely, 2481359648 is an apocalyptic number.

481359648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

481359648 is an abundant number, since it is smaller than the sum of its proper divisors (1094023392).

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

481359648 is a wasteful number, since it uses less digits than its factorization.

481359648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65150 (or 65142 counting only the distinct ones).

The product of its digits is 829440, while the sum is 48.

The square root of 481359648 is about 21939.9099360048. The cubic root of 481359648 is about 783.7121149039.

The spelling of 481359648 in words is "four hundred eighty-one million, three hundred fifty-nine thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 66 77 84 88 96 112 132 154 168 176 224 231 264 308 336 352 462 528 616 672 924 1056 1232 1848 2464 3696 7392 65119 130238 195357 260476 390714 455833 520952 716309 781428 911666 1041904 1367499 1432618 1562856 1823332 2083808 2148927 2734998 2865236 3125712 3646664 4297854 5014163 5469996 5730472 6251424 7293328 8595708 10028326 10939992 11460944 14586656 15042489 17191416 20056652 21879984 22921888 30084978 34382832 40113304 43759968 60169956 68765664 80226608 120339912 160453216 240679824 481359648