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390877416 = 23325428853
BaseRepresentation
bin10111010011000…
…101000011101000
31000020111122000100
4113103011003220
51300031034131
6102441505400
712454255206
oct2723050350
91006448010
10390877416
11190704a96
12aaaa2260
1362c99217
1439cac076
15244b07e6
hex174c50e8

390877416 has 24 divisors (see below), whose sum is σ = 1058626530. Its totient is φ = 130292448.

The previous prime is 390877393. The next prime is 390877441. The reversal of 390877416 is 614778093.

It can be written as a sum of positive squares in only one way, i.e., 215208900 + 175668516 = 14670^2 + 13254^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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 5 ways as a sum of consecutive naturals, for example, 2714355 + ... + 2714498.

Almost surely, 2390877416 is an apocalyptic number.

390877416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

390877416 is an abundant number, since it is smaller than the sum of its proper divisors (667749114).

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

390877416 is a wasteful number, since it uses less digits than its factorization.

390877416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5428865 (or 5428858 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 390877416 is about 19770.6200206266. The cubic root of 390877416 is about 731.1618553409.

The spelling of 390877416 in words is "three hundred ninety million, eight hundred seventy-seven thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 5428853 10857706 16286559 21715412 32573118 43430824 48859677 65146236 97719354 130292472 195438708 390877416