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481231632 = 24373314327
BaseRepresentation
bin11100101011110…
…000001100010000
31020112112002200210
4130223300030100
51441143403012
6115430244120
714632254450
oct3453601420
91215462623
10481231632
112277084a2
121151b6640
137891345b
1447cabd60
152c3ac23c
hex1caf0310

481231632 has 80 divisors (see below), whose sum is σ = 1425400832. Its totient is φ = 137047680.

The previous prime is 481231609. The next prime is 481231643. The reversal of 481231632 is 236132184.

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 481231632.

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, 109053 + ... + 113379.

Almost surely, 2481231632 is an apocalyptic number.

481231632 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 481231632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712700416).

481231632 is an abundant number, since it is smaller than the sum of its proper divisors (944169200).

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

481231632 is a wasteful number, since it uses less digits than its factorization.

481231632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4676 (or 4670 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 481231632 is about 21936.9923189119. The cubic root of 481231632 is about 783.6426335326.

The spelling of 481231632 in words is "four hundred eighty-one million, two hundred thirty-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 331 336 662 993 1324 1986 2317 2648 3972 4327 4634 5296 6951 7944 8654 9268 12981 13902 15888 17308 18536 25962 27804 30289 34616 37072 51924 55608 60578 69232 90867 103848 111216 121156 181734 207696 242312 363468 484624 726936 1432237 1453872 2864474 4296711 5728948 8593422 10025659 11457896 17186844 20051318 22915792 30076977 34373688 40102636 60153954 68747376 80205272 120307908 160410544 240615816 481231632