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468157032 = 23327928883
BaseRepresentation
bin11011111001111…
…000001001101000
31012121220211201100
4123321320021220
51424322011112
6114242121400
714413161210
oct3371701150
91177824640
10468157032
11220298342
12110950260
1375cb62c5
1446267240
152b1782dc
hex1be78268

468157032 has 48 divisors (see below), whose sum is σ = 1449059040. Its totient is φ = 133759008.

The previous prime is 468157021. The next prime is 468157037. The reversal of 468157032 is 230751864.

468157032 is a `hidden beast` number, since 4 + 6 + 81 + 570 + 3 + 2 = 666.

It is a super-2 number, since 2×4681570322 = 438342013222098048, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (468157037) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 463938 + ... + 464945.

It is an arithmetic number, because the mean of its divisors is an integer number (30188730).

Almost surely, 2468157032 is an apocalyptic number.

468157032 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

468157032 is an abundant number, since it is smaller than the sum of its proper divisors (980902008).

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

468157032 is a wasteful number, since it uses less digits than its factorization.

468157032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928902 (or 928895 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 468157032 is about 21636.9367517678. The cubic root of 468157032 is about 776.4804345940.

The spelling of 468157032 in words is "four hundred sixty-eight million, one hundred fifty-seven thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 928883 1857766 2786649 3715532 5573298 6502181 7431064 8359947 11146596 13004362 16719894 19506543 22293192 26008724 33439788 39013086 52017448 58519629 66879576 78026172 117039258 156052344 234078516 468157032