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392280096 = 25313224179
BaseRepresentation
bin10111011000011…
…011100000100000
31000100010220010110
4113120123200200
51300410430341
6102531531320
712502216515
oct2730334040
91010126113
10392280096
1119148292a
12ab459b40
136336a800
143a15530c
152468b216
hex1761b820

392280096 has 72 divisors (see below), whose sum is σ = 1115084880. Its totient is φ = 120696576.

The previous prime is 392280089. The next prime is 392280103. The reversal of 392280096 is 690082293.

It is an interprime number because it is at equal distance from previous prime (392280089) and next prime (392280103).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4135 + ... + 28313.

It is an arithmetic number, because the mean of its divisors is an integer number (15487290).

Almost surely, 2392280096 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 392280096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557542440).

392280096 is an abundant number, since it is smaller than the sum of its proper divisors (722804784).

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

392280096 is a wasteful number, since it uses less digits than its factorization.

392280096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24218 (or 24197 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 392280096 is about 19806.0621022959. The cubic root of 392280096 is about 732.0354129005.

The spelling of 392280096 in words is "three hundred ninety-two million, two hundred eighty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 169 208 312 338 416 507 624 676 1014 1248 1352 2028 2704 4056 5408 8112 16224 24179 48358 72537 96716 145074 193432 290148 314327 386864 580296 628654 773728 942981 1160592 1257308 1885962 2321184 2514616 3771924 4086251 5029232 7543848 8172502 10058464 12258753 15087696 16345004 24517506 30175392 32690008 49035012 65380016 98070024 130760032 196140048 392280096