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256531696 = 242331113199
BaseRepresentation
bin11110100101001…
…01110011110000
3122212201011022221
433102211303300
51011133003241
641242210424
76233324551
oct1722456360
9585634287
10256531696
11121895073
1271ab3a14
13411bb705
14260da328
15177c45d1
hexf4a5cf0

256531696 has 80 divisors (see below), whose sum is σ = 542822400. Its totient is φ = 117089280.

The previous prime is 256531663. The next prime is 256531721. The reversal of 256531696 is 696135652.

It is a super-2 number, since 2×2565316962 = 131617022105272832, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1289005 + ... + 1289203.

It is an arithmetic number, because the mean of its divisors is an integer number (6785280).

Almost surely, 2256531696 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 256531696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271411200).

256531696 is an abundant number, since it is smaller than the sum of its proper divisors (286290704).

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

256531696 is a wasteful number, since it uses less digits than its factorization.

256531696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 368 counting only the distinct ones).

The product of its digits is 291600, while the sum is 43.

The square root of 256531696 is about 16016.6068816089. The cubic root of 256531696 is about 635.3997078399.

The spelling of 256531696 in words is "two hundred fifty-six million, five hundred thirty-one thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 23 31 46 62 92 113 124 184 199 226 248 368 398 452 496 713 796 904 1426 1592 1808 2599 2852 3184 3503 4577 5198 5704 6169 7006 9154 10396 11408 12338 14012 18308 20792 22487 24676 28024 36616 41584 44974 49352 56048 73232 80569 89948 98704 141887 161138 179896 283774 322276 359792 517201 567548 644552 697097 1034402 1135096 1289104 1394194 2068804 2270192 2788388 4137608 5576776 8275216 11153552 16033231 32066462 64132924 128265848 256531696