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465997376 = 2613560093
BaseRepresentation
bin11011110001101…
…000111001000000
31012110212010020002
4123301220321000
51423243404001
6114123535132
714355624635
oct3361507100
91173763202
10465997376
1121a0527a9
1211008a4a8
137570b2c0
1445c6418c
152ad9d46b
hex1bc68e40

465997376 has 28 divisors (see below), whose sum is σ = 995847132. Its totient is φ = 215075328.

The previous prime is 465997333. The next prime is 465997381. The reversal of 465997376 is 673799564.

It can be written as a sum of positive squares in 2 ways, for example, as 200958976 + 265038400 = 14176^2 + 16280^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 279215 + ... + 280878.

It is an arithmetic number, because the mean of its divisors is an integer number (35565969).

Almost surely, 2465997376 is an apocalyptic number.

It is an amenable number.

465997376 is an abundant number, since it is smaller than the sum of its proper divisors (529849756).

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

465997376 is a wasteful number, since it uses less digits than its factorization.

465997376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560118 (or 560108 counting only the distinct ones).

The product of its digits is 8573040, while the sum is 56.

The square root of 465997376 is about 21586.9723676110. The cubic root of 465997376 is about 775.2845994640.

The spelling of 465997376 in words is "four hundred sixty-five million, nine hundred ninety-seven thousand, three hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 560093 1120186 2240372 4480744 7281209 8961488 14562418 17922976 29124836 35845952 58249672 116499344 232998688 465997376