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481315164 = 223119737591
BaseRepresentation
bin11100101100000…
…100100101011100
31020112200100021120
4130230010211130
51441204041124
6115432130540
714633053131
oct3454044534
91215610246
10481315164
11227765230
12115236a50
1378942495
1447cd0588
152c3c6d79
hex1cb0495c

481315164 has 48 divisors (see below), whose sum is σ = 1237829376. Its totient is φ = 144345600.

The previous prime is 481315127. The next prime is 481315171. The reversal of 481315164 is 461513184.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5992 + ... + 31599.

It is an arithmetic number, because the mean of its divisors is an integer number (25788112).

Almost surely, 2481315164 is an apocalyptic number.

481315164 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

481315164 is an abundant number, since it is smaller than the sum of its proper divisors (756514212).

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

481315164 is a wasteful number, since it uses less digits than its factorization.

481315164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37706 (or 37704 counting only the distinct ones).

The product of its digits is 11520, while the sum is 33.

The square root of 481315164 is about 21938.8961436076. The cubic root of 481315164 is about 783.6879723709.

The spelling of 481315164 in words is "four hundred eighty-one million, three hundred fifteen thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 97 132 194 291 388 582 1067 1164 2134 3201 4268 6402 12804 37591 75182 112773 150364 225546 413501 451092 827002 1240503 1654004 2481006 3646327 4962012 7292654 10938981 14585308 21877962 40109597 43755924 80219194 120328791 160438388 240657582 481315164