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386928416 = 2577124329
BaseRepresentation
bin10111000100000…
…000111100100000
3222222002000000002
4113010000330200
51243023202131
6102221115132
712405560120
oct2704007440
9888060002
10386928416
11189458056
12a96b8aa8
1362215934
1439560c80
1523e806cb
hex17100f20

386928416 has 48 divisors (see below), whose sum is σ = 882887040. Its totient is φ = 163484160.

The previous prime is 386928401. The next prime is 386928427. The reversal of 386928416 is 614829683.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3740 + ... + 28068.

It is an arithmetic number, because the mean of its divisors is an integer number (18393480).

Almost surely, 2386928416 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 386928416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441443520).

386928416 is an abundant number, since it is smaller than the sum of its proper divisors (495958624).

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

386928416 is a wasteful number, since it uses less digits than its factorization.

386928416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24417 (or 24409 counting only the distinct ones).

The product of its digits is 497664, while the sum is 47.

The square root of 386928416 is about 19670.4960791537. The cubic root of 386928416 is about 728.6912285159.

The spelling of 386928416 in words is "three hundred eighty-six million, nine hundred twenty-eight thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 71 112 142 224 284 497 568 994 1136 1988 2272 3976 7952 15904 24329 48658 97316 170303 194632 340606 389264 681212 778528 1362424 1727359 2724848 3454718 5449696 6909436 12091513 13818872 24183026 27637744 48366052 55275488 96732104 193464208 386928416