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481733112 = 233725359131
BaseRepresentation
bin11100101101101…
…010100111111000
31020120110120121010
4130231222213320
51441310424422
6115445113520
714636443500
oct3455524770
91216416533
10481733112
11227a20243
121153b88a0
1378a5a7a3
1447d9ca00
152c45ab0c
hex1cb6a9f8

481733112 has 192 divisors, whose sum is σ = 1462665600. Its totient is φ = 131738880.

The previous prime is 481733111. The next prime is 481733113. The reversal of 481733112 is 211337184.

It is an interprime number because it is at equal distance from previous prime (481733111) and next prime (481733113).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 481733112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481733111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3677287 + ... + 3677417.

It is an arithmetic number, because the mean of its divisors is an integer number (7618050).

Almost surely, 2481733112 is an apocalyptic number.

481733112 is a gapful number since it is divisible by the number (42) 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 481733112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731332800).

481733112 is an abundant number, since it is smaller than the sum of its proper divisors (980932488).

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

481733112 is a wasteful number, since it uses less digits than its factorization.

481733112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 255 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 481733112 is about 21948.4193508325. The cubic root of 481733112 is about 783.9147441306.

The spelling of 481733112 in words is "four hundred eighty-one million, seven hundred thirty-three thousand, one hundred twelve".