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482070720 = 2635653769
BaseRepresentation
bin11100101110111…
…101000011000000
31020121002201201010
4130232331003000
51441402230340
6115500240520
714642350665
oct3456750300
91217081633
10482070720
1122813095a
12115540140
1378b48361
1448049a6c
152c4c5b80
hex1cbbd0c0

482070720 has 112 divisors (see below), whose sum is σ = 1534911840. Its totient is φ = 128188416.

The previous prime is 482070647. The next prime is 482070737. The reversal of 482070720 is 27070284.

482070720 = 3762 + 3772 + ... + 11442.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 626496 + ... + 627264.

It is an arithmetic number, because the mean of its divisors is an integer number (13704570).

Almost surely, 2482070720 is an apocalyptic number.

482070720 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 482070720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767455920).

482070720 is an abundant number, since it is smaller than the sum of its proper divisors (1052841120).

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

482070720 is a wasteful number, since it uses less digits than its factorization.

482070720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1442 (or 1432 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 482070720 is about 21956.1089448928. The cubic root of 482070720 is about 784.0978289695.

The spelling of 482070720 in words is "four hundred eighty-two million, seventy thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 653 769 960 1306 1538 1959 2307 2612 3076 3265 3845 3918 4614 5224 6152 6530 7690 7836 9228 9795 10448 11535 12304 13060 15380 15672 18456 19590 20896 23070 24608 26120 30760 31344 36912 39180 41792 46140 49216 52240 61520 62688 73824 78360 92280 104480 123040 125376 147648 156720 184560 208960 246080 313440 369120 502157 626880 738240 1004314 1506471 2008628 2510785 3012942 4017256 5021570 6025884 7532355 8034512 10043140 12051768 15064710 16069024 20086280 24103536 30129420 32138048 40172560 48207072 60258840 80345120 96414144 120517680 160690240 241035360 482070720