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256055536 = 24113171661
BaseRepresentation
bin11110100001100…
…01100011110000
3122211210222011101
433100301203300
51011022234121
641224054144
76226302412
oct1720614360
9584728141
10256055536
1112159a350
1271904354
1341082a69
14260149b2
151772d491
hexf4318f0

256055536 has 80 divisors (see below), whose sum is σ = 567392256. Its totient is φ = 110880000.

The previous prime is 256055531. The next prime is 256055551. The reversal of 256055536 is 635550652.

It is a junction number, because it is equal to n+sod(n) for n = 256055495 and 256055504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256055531) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 387046 + ... + 387706.

Almost surely, 2256055536 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 256055536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283696128).

256055536 is an abundant number, since it is smaller than the sum of its proper divisors (311336720).

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

256055536 is a wasteful number, since it uses less digits than its factorization.

256055536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 37.

The square root of 256055536 is about 16001.7354058865. The cubic root of 256055536 is about 635.0063330428.

The spelling of 256055536 in words is "two hundred fifty-six million, fifty-five thousand, five hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 31 44 62 71 88 124 142 176 248 284 341 496 568 661 682 781 1136 1322 1364 1562 2201 2644 2728 3124 4402 5288 5456 6248 7271 8804 10576 12496 14542 17608 20491 24211 29084 35216 40982 46931 48422 58168 81964 93862 96844 116336 163928 187724 193688 225401 327856 375448 387376 450802 516241 750896 901604 1032482 1454861 1803208 2064964 2909722 3606416 4129928 5819444 8259856 11638888 16003471 23277776 32006942 64013884 128027768 256055536