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470116032 = 26313118691
BaseRepresentation
bin11100000001010…
…110011011000000
31012202121100221220
4130001112123000
51430322203112
6114352115040
714435630451
oct3401263300
91182540856
10470116032
11221406151
12111535a80
1376520b89
1446617128
152b41398c
hex1c0566c0

470116032 has 56 divisors (see below), whose sum is σ = 1253410752. Its totient is φ = 155500800.

The previous prime is 470115991. The next prime is 470116051. The reversal of 470116032 is 230611074.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 470115993 and 470116011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15807 + ... + 34497.

Almost surely, 2470116032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 470116032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626705376).

470116032 is an abundant number, since it is smaller than the sum of its proper divisors (783294720).

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

470116032 is a wasteful number, since it uses less digits than its factorization.

470116032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18837 (or 18827 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 470116032 is about 21682.1593020621. The cubic root of 470116032 is about 777.5619864904.

The spelling of 470116032 in words is "four hundred seventy million, one hundred sixteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 131 192 262 393 524 786 1048 1572 2096 3144 4192 6288 8384 12576 18691 25152 37382 56073 74764 112146 149528 224292 299056 448584 598112 897168 1196224 1794336 2448521 3588672 4897042 7345563 9794084 14691126 19588168 29382252 39176336 58764504 78352672 117529008 156705344 235058016 470116032