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460992064 = 2613554077
BaseRepresentation
bin11011011110100…
…010111001000000
31012010102211020011
4123132202321000
51421003221224
6113424354304
714265240121
oct3336427100
91163384204
10460992064
11217244185
1210a475994
1374677c90
1445320048
152a710394
hex1b7a2e40

460992064 has 28 divisors (see below), whose sum is σ = 985150684. Its totient is φ = 212765184.

The previous prime is 460992047. The next prime is 460992071. The reversal of 460992064 is 460299064.

It can be written as a sum of positive squares in 2 ways, for example, as 45158400 + 415833664 = 6720^2 + 20392^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 276207 + ... + 277870.

It is an arithmetic number, because the mean of its divisors is an integer number (35183953).

Almost surely, 2460992064 is an apocalyptic number.

It is an amenable number.

460992064 is an abundant number, since it is smaller than the sum of its proper divisors (524158620).

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

460992064 is a wasteful number, since it uses less digits than its factorization.

460992064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554102 (or 554092 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The square root of 460992064 is about 21470.7257446040. The cubic root of 460992064 is about 772.4988051356.

The spelling of 460992064 in words is "four hundred sixty million, nine hundred ninety-two thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 554077 1108154 2216308 4432616 7203001 8865232 14406002 17730464 28812004 35460928 57624008 115248016 230496032 460992064