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463964112 = 2434357997
BaseRepresentation
bin11011101001111…
…000011111010000
31012100000211010000
4123221320133100
51422233322422
6114012210000
714332426023
oct3351703720
91170024100
10463964112
11218994117
1210b469900
13751789a1
14458951ba
152aaeacac
hex1ba787d0

463964112 has 50 divisors (see below), whose sum is σ = 1342850498. Its totient is φ = 154654272.

The previous prime is 463964093. The next prime is 463964167. The reversal of 463964112 is 211469364.

463964112 is a `hidden beast` number, since 4 + 6 + 3 + 9 + 641 + 1 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 306110016 + 157854096 = 17496^2 + 12564^2 .

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 177703 + ... + 180294.

Almost surely, 2463964112 is an apocalyptic number.

It is an amenable number.

463964112 is an abundant number, since it is smaller than the sum of its proper divisors (878886386).

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

463964112 is a wasteful number, since it uses less digits than its factorization.

463964112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358017 (or 358002 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 463964112 is about 21539.8261831427. The cubic root of 463964112 is about 774.1553681252.

The spelling of 463964112 in words is "four hundred sixty-three million, nine hundred sixty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 357997 715994 1073991 1431988 2147982 2863976 3221973 4295964 5727952 6443946 8591928 9665919 12887892 17183856 19331838 25775784 28997757 38663676 51551568 57995514 77327352 115991028 154654704 231982056 463964112