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256011392 = 2771331709
BaseRepresentation
bin11110100001001…
…10110010000000
3122211201201121102
433100212302000
51011014331032
641223113532
76226026620
oct1720466200
9584651542
10256011392
1112156a16a
12718a28a8
1341068940
1426002880
1517720362
hexf426c80

256011392 has 128 divisors (see below), whose sum is σ = 648883200. Its totient is φ = 97873920.

The previous prime is 256011383. The next prime is 256011401. The reversal of 256011392 is 293110652.

It is an interprime number because it is at equal distance from previous prime (256011383) and next prime (256011401).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 360734 + ... + 361442.

It is an arithmetic number, because the mean of its divisors is an integer number (5069400).

Almost surely, 2256011392 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 256011392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324441600).

256011392 is an abundant number, since it is smaller than the sum of its proper divisors (392871808).

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

256011392 is a wasteful number, since it uses less digits than its factorization.

256011392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 29.

The square root of 256011392 is about 16000.3559960396. The cubic root of 256011392 is about 634.9698392271.

The spelling of 256011392 in words is "two hundred fifty-six million, eleven thousand, three hundred ninety-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 32 52 56 62 64 91 104 112 124 128 182 208 217 224 248 364 403 416 434 448 496 709 728 806 832 868 896 992 1418 1456 1612 1664 1736 1984 2821 2836 2912 3224 3472 3968 4963 5642 5672 5824 6448 6944 9217 9926 11284 11344 11648 12896 13888 18434 19852 21979 22568 22688 25792 27776 36868 39704 43958 45136 45376 51584 64519 73736 79408 87916 90272 90752 129038 147472 153853 158816 175832 180544 258076 285727 294944 307706 317632 351664 361088 516152 571454 589888 615412 635264 703328 1032304 1142908 1179776 1230824 1406656 2000089 2064608 2285816 2461648 2813312 4000178 4129216 4571632 4923296 8000356 8258432 9143264 9846592 16000712 18286528 19693184 32001424 36573056 64002848 128005696 256011392