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481138920 = 23335445499
BaseRepresentation
bin11100101011011…
…001100011101000
31020112100101112000
4130223121203220
51441132421140
6115424251000
714631420243
oct3453314350
91215311460
10481138920
11227654879
12115170a60
13788b01b2
1447c8625a
152c38ea30
hex1cad98e8

481138920 has 64 divisors (see below), whose sum is σ = 1603800000. Its totient is φ = 128303424.

The previous prime is 481138877. The next prime is 481138927. The reversal of 481138920 is 29831184.

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

It is not an unprimeable number, because it can be changed into a prime (481138927) 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, 221670 + ... + 223829.

It is an arithmetic number, because the mean of its divisors is an integer number (25059375).

Almost surely, 2481138920 is an apocalyptic number.

481138920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

481138920 is an abundant number, since it is smaller than the sum of its proper divisors (1122661080).

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

481138920 is a wasteful number, since it uses less digits than its factorization.

481138920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445519 (or 445509 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 481138920 is about 21934.8790742051. The cubic root of 481138920 is about 783.5923059030.

The spelling of 481138920 in words is "four hundred eighty-one million, one hundred thirty-eight thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 445499 890998 1336497 1781996 2227495 2672994 3563992 4009491 4454990 5345988 6682485 8018982 8909980 10691976 12028473 13364970 16037964 17819960 20047455 24056946 26729940 32075928 40094910 48113892 53459880 60142365 80189820 96227784 120284730 160379640 240569460 481138920