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481950720 = 21032510459
BaseRepresentation
bin11100101110011…
…111110000000000
31020120212122002200
4130232133300000
51441334410340
6115453513200
714641341066
oct3456376000
91216778080
10481950720
11228059789
121154a2800
1378b05854
1448018036
152c4a0330
hex1cb9fc00

481950720 has 132 divisors (see below), whose sum is σ = 1670106360. Its totient is φ = 128507904.

The previous prime is 481950683. The next prime is 481950743. The reversal of 481950720 is 27059184.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 40851 + ... + 51309.

Almost surely, 2481950720 is an apocalyptic number.

481950720 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 481950720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835053180).

481950720 is an abundant number, since it is smaller than the sum of its proper divisors (1188155640).

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

481950720 is a wasteful number, since it uses less digits than its factorization.

481950720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10490 (or 10469 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 481950720 is about 21953.3760501660. The cubic root of 481950720 is about 784.0327627569.

The spelling of 481950720 in words is "four hundred eighty-one million, nine hundred fifty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 2304 2560 2880 3072 3840 4608 5120 5760 7680 9216 10459 11520 15360 20918 23040 31377 41836 46080 52295 62754 83672 94131 104590 125508 156885 167344 188262 209180 251016 313770 334688 376524 418360 470655 502032 627540 669376 753048 836720 941310 1004064 1255080 1338752 1506096 1673440 1882620 2008128 2510160 2677504 3012192 3346880 3765240 4016256 5020320 5355008 6024384 6693760 7530480 8032512 10040640 10710016 12048768 13387520 15060960 16065024 20081280 24097536 26775040 30121920 32130048 40162560 48195072 53550080 60243840 80325120 96390144 120487680 160650240 240975360 481950720