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256025616 = 243711531307
BaseRepresentation
bin11110100001010…
…10010000010000
3122211202110010020
433100222100100
51011020304431
641223303440
76226116240
oct1720522020
9584673106
10256025616
11121579920
12718aab80
1341072262
1426007b20
1517724696
hexf42a410

256025616 has 160 divisors (see below), whose sum is σ = 840803328. Its totient is φ = 65195520.

The previous prime is 256025611. The next prime is 256025617. The reversal of 256025616 is 616520652.

It is a happy number.

256025616 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (256025611) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 195235 + ... + 196541.

Almost surely, 2256025616 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 256025616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420401664).

256025616 is an abundant number, since it is smaller than the sum of its proper divisors (584777712).

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

256025616 is a wasteful number, since it uses less digits than its factorization.

256025616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1389 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 256025616 is about 16000.8004799760. The cubic root of 256025616 is about 634.9815986566.

The spelling of 256025616 in words is "two hundred fifty-six million, twenty-five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 53 56 66 77 84 88 106 112 132 154 159 168 176 212 231 264 308 318 336 371 424 462 528 583 616 636 742 848 924 1113 1166 1232 1272 1307 1484 1749 1848 2226 2332 2544 2614 2968 3498 3696 3921 4081 4452 4664 5228 5936 6996 7842 8162 8904 9149 9328 10456 12243 13992 14377 15684 16324 17808 18298 20912 24486 27447 27984 28754 31368 32648 36596 43131 48972 54894 57508 62736 65296 69271 73192 86262 97944 100639 109788 115016 138542 146384 172524 195888 201278 207813 219576 230032 277084 301917 345048 402556 415626 439152 484897 554168 603834 690096 761981 805112 831252 969794 1108336 1207668 1454691 1523962 1610224 1662504 1939588 2285943 2415336 2909382 3047924 3325008 3879176 4571886 4830672 5333867 5818764 6095848 7758352 9143772 10667734 11637528 12191696 16001601 18287544 21335468 23275056 32003202 36575088 42670936 64006404 85341872 128012808 256025616