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6256272 = 2431117241
BaseRepresentation
bin10111110111011010010000
3102202211222210
4113313122100
53100200042
6342032120
7104114601
oct27673220
912684883
106256272
113593480
122118640
1313b0849
14b8bda8
15838a9c
hex5f7690

6256272 has 120 divisors (see below), whose sum is σ = 19186272. Its totient is φ = 1740800.

The previous prime is 6256223. The next prime is 6256277. The reversal of 6256272 is 2726526.

It is a d-powerful number, because it can be written as 62 + 211 + 59 + 68 + 219 + 7 + 221 .

It is not an unprimeable number, because it can be changed into a prime (6256277) 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 23 ways as a sum of consecutive naturals, for example, 152572 + ... + 152612.

Almost surely, 26256272 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 6256272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9593136).

6256272 is an abundant number, since it is smaller than the sum of its proper divisors (12930000).

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

6256272 is a wasteful number, since it uses less digits than its factorization.

6256272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 74 counting only the distinct ones).

The product of its digits is 10080, while the sum is 30.

The square root of 6256272 is about 2501.2540854539. The cubic root of 6256272 is about 184.2631709871.

The spelling of 6256272 in words is "six million, two hundred fifty-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 33 34 41 44 48 51 66 68 82 88 102 123 132 136 164 176 187 204 246 264 272 289 328 374 408 451 492 528 561 578 656 697 748 816 867 902 984 1122 1156 1353 1394 1496 1734 1804 1968 2091 2244 2312 2706 2788 2992 3179 3468 3608 4182 4488 4624 5412 5576 6358 6936 7216 7667 8364 8976 9537 10824 11152 11849 12716 13872 15334 16728 19074 21648 23001 23698 25432 30668 33456 35547 38148 46002 47396 50864 61336 71094 76296 92004 94792 122672 130339 142188 152592 184008 189584 260678 284376 368016 391017 521356 568752 782034 1042712 1564068 2085424 3128136 6256272