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256399392 = 253107109229
BaseRepresentation
bin11110100100001…
…01100000100000
3122212110102211210
433102011200200
51011114240032
641235310120
76232234044
oct1722054040
9585412753
10256399392
11121804727
1271a4b340
1341173422
14260a4024
151779a2cc
hexf485820

256399392 has 96 divisors (see below), whose sum is σ = 688564800. Its totient is φ = 83524608.

The previous prime is 256399387. The next prime is 256399447. The reversal of 256399392 is 293993652.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1119534 + ... + 1119762.

It is an arithmetic number, because the mean of its divisors is an integer number (7172550).

Almost surely, 2256399392 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 256399392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344282400).

256399392 is an abundant number, since it is smaller than the sum of its proper divisors (432165408).

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

256399392 is a wasteful number, since it uses less digits than its factorization.

256399392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 450 counting only the distinct ones).

The product of its digits is 787320, while the sum is 48.

The square root of 256399392 is about 16012.4761358136. The cubic root of 256399392 is about 635.2904550906.

The spelling of 256399392 in words is "two hundred fifty-six million, three hundred ninety-nine thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 107 109 214 218 229 321 327 428 436 458 642 654 687 856 872 916 1284 1308 1374 1712 1744 1832 2568 2616 2748 3424 3488 3664 5136 5232 5496 7328 10272 10464 10992 11663 21984 23326 24503 24961 34989 46652 49006 49922 69978 73509 74883 93304 98012 99844 139956 147018 149766 186608 196024 199688 279912 294036 299532 373216 392048 399376 559824 588072 599064 784096 798752 1119648 1176144 1198128 2352288 2396256 2670827 5341654 8012481 10683308 16024962 21366616 32049924 42733232 64099848 85466464 128199696 256399392