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255696048 = 24331737941
BaseRepresentation
bin11110011110110…
…01110010110000
3122211010201001000
433033121302300
51010424233143
641212242000
76223244346
oct1717316260
9584121030
10255696048
11121374253
1271770300
1340c8824a
1425d5d996
15176abbd3
hexf3d9cb0

255696048 has 160 divisors (see below), whose sum is σ = 798966720. Its totient is φ = 77967360.

The previous prime is 255696019. The next prime is 255696101. The reversal of 255696048 is 840696552.

255696048 is a `hidden beast` number, since 2 + 556 + 96 + 0 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 255695994 and 255696012.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 271258 + ... + 272198.

It is an arithmetic number, because the mean of its divisors is an integer number (4993542).

Almost surely, 2255696048 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 255696048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399483360).

255696048 is an abundant number, since it is smaller than the sum of its proper divisors (543270672).

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

255696048 is a wasteful number, since it uses less digits than its factorization.

255696048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 255696048 is about 15990.4986789030. The cubic root of 255696048 is about 634.7090224500.

The spelling of 255696048 in words is "two hundred fifty-five million, six hundred ninety-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 37 48 51 54 68 72 74 102 108 111 136 144 148 153 204 216 222 272 296 306 333 408 432 444 459 592 612 629 666 816 888 918 941 999 1224 1258 1332 1776 1836 1882 1887 1998 2448 2516 2664 2823 3672 3764 3774 3996 5032 5328 5646 5661 7344 7528 7548 7992 8469 10064 11292 11322 15056 15096 15984 15997 16938 16983 22584 22644 25407 30192 31994 33876 33966 34817 45168 45288 47991 50814 63988 67752 67932 69634 90576 95982 101628 104451 127976 135504 135864 139268 143973 191964 203256 208902 255952 271728 278536 287946 313353 383928 406512 417804 431919 557072 575892 591889 626706 767856 835608 863838 940059 1151784 1183778 1253412 1671216 1727676 1775667 1880118 2303568 2367556 2506824 3455352 3551334 3760236 4735112 5013648 5327001 6910704 7102668 7520472 9470224 10654002 14205336 15040944 15981003 21308004 28410672 31962006 42616008 63924012 85232016 127848024 255696048