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256255104 = 2737213619
BaseRepresentation
bin11110100011000…
…10010010000000
3122212012002220210
433101202102000
51011100130404
641232234120
76231063300
oct1721422200
9585162823
10256255104
11121716286
127199b940
1341122851
1426067600
151776c689
hexf462480

256255104 has 96 divisors (see below), whose sum is σ = 791866800. Its totient is φ = 73210368.

The previous prime is 256255099. The next prime is 256255123. The reversal of 256255104 is 401552652.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12007 + ... + 25625.

Almost surely, 2256255104 is an apocalyptic number.

256255104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256255104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395933400).

256255104 is an abundant number, since it is smaller than the sum of its proper divisors (535611696).

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

256255104 is a wasteful number, since it uses less digits than its factorization.

256255104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13650 (or 13631 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 256255104 is about 16007.9700149644. The cubic root of 256255104 is about 635.1712634543.

The spelling of 256255104 in words is "two hundred fifty-six million, two hundred fifty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 294 336 384 392 448 588 672 784 896 1176 1344 1568 2352 2688 3136 4704 6272 9408 13619 18816 27238 40857 54476 81714 95333 108952 163428 190666 217904 285999 326856 381332 435808 571998 653712 667331 762664 871616 1143996 1307424 1334662 1525328 1743232 2001993 2287992 2614848 2669324 3050656 4003986 4575984 5229696 5338648 6101312 8007972 9151968 10677296 12202624 16015944 18303936 21354592 32031888 36607872 42709184 64063776 85418368 128127552 256255104