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481932048 = 2431317181251
BaseRepresentation
bin11100101110011…
…011001100010000
31020120211200111010
4130232123030100
51441333311143
6115453250520
714641232463
oct3456331420
91216750433
10481932048
11228046754
12115493a40
1378aca1c0
14480112da
152c499a33
hex1cb9b310

481932048 has 160 divisors (see below), whose sum is σ = 1433158272. Its totient is φ = 138240000.

The previous prime is 481932019. The next prime is 481932049. The reversal of 481932048 is 840239184.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 481931997 and 481932015.

It is not an unprimeable number, because it can be changed into a prime (481932049) 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, 1919923 + ... + 1920173.

Almost surely, 2481932048 is an apocalyptic number.

481932048 is a gapful number since it is divisible by the number (48) 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 481932048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716579136).

481932048 is an abundant number, since it is smaller than the sum of its proper divisors (951226224).

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

481932048 is a wasteful number, since it uses less digits than its factorization.

481932048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 481932048 is about 21952.9507811592. The cubic root of 481932048 is about 784.0226374832.

The spelling of 481932048 in words is "four hundred eighty-one million, nine hundred thirty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 34 39 48 51 52 68 78 102 104 136 156 181 204 208 221 251 272 312 362 408 442 502 543 624 663 724 753 816 884 1004 1086 1326 1448 1506 1768 2008 2172 2353 2652 2896 3012 3077 3263 3536 4016 4267 4344 4706 5304 6024 6154 6526 7059 8534 8688 9231 9412 9789 10608 12048 12308 12801 13052 14118 17068 18462 18824 19578 24616 25602 26104 28236 34136 36924 37648 39156 40001 45431 49232 51204 52208 55471 56472 68272 73848 78312 80002 90862 102408 110942 112944 120003 136293 147696 156624 160004 166413 181724 204816 221884 240006 272586 320008 332826 363448 443768 480012 545172 590603 640016 665652 726896 772327 887536 960024 1090344 1181206 1331304 1544654 1771809 1920048 2180688 2316981 2362412 2662608 3089308 3543618 4633962 4724824 6178616 7087236 9267924 9449648 10040251 12357232 14174472 18535848 20080502 28348944 30120753 37071696 40161004 60241506 80322008 120483012 160644016 240966024 481932048