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468811264 = 293129537
BaseRepresentation
bin11011111100010…
…111111000000000
31012200011002011011
4123330113320000
51430003430024
6114304130304
714421554455
oct3374277000
91180132134
10468811264
112206a4929
12111006994
137618501c
144639782c
152b257094
hex1bf17e00

468811264 has 40 divisors (see below), whose sum is σ = 966955968. Its totient is φ = 226836480.

The previous prime is 468811253. The next prime is 468811267. The reversal of 468811264 is 462118864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468811267) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1104 + ... + 30640.

Almost surely, 2468811264 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 468811264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483477984).

468811264 is an abundant number, since it is smaller than the sum of its proper divisors (498144704).

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

468811264 is an equidigital number, since it uses as much as digits as its factorization.

468811264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29586 (or 29570 counting only the distinct ones).

The product of its digits is 73728, while the sum is 40.

The square root of 468811264 is about 21652.0498798613. The cubic root of 468811264 is about 776.8419670573.

The spelling of 468811264 in words is "four hundred sixty-eight million, eight hundred eleven thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 496 512 992 1984 3968 7936 15872 29537 59074 118148 236296 472592 915647 945184 1831294 1890368 3662588 3780736 7325176 7561472 14650352 15122944 29300704 58601408 117202816 234405632 468811264