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256048440 = 233514331489
BaseRepresentation
bin11110100001011…
…11110100111000
3122211210121102120
433100233310320
51011022022230
641224001240
76226242624
oct1720576470
9584717376
10256048440
11121594a8a
1271900220
134107c76b
1426012184
151772b310
hexf42fd38

256048440 has 64 divisors (see below), whose sum is σ = 769197600. Its totient is φ = 68186112.

The previous prime is 256048423. The next prime is 256048447. The reversal of 256048440 is 44840652.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256048447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171216 + ... + 172704.

Almost surely, 2256048440 is an apocalyptic number.

256048440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256048440 is an abundant number, since it is smaller than the sum of its proper divisors (513149160).

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

256048440 is a wasteful number, since it uses less digits than its factorization.

256048440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2936 (or 2932 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 256048440 is about 16001.5136783993. The cubic root of 256048440 is about 635.0004670673. Note that the first 3 decimals are identical.

The spelling of 256048440 in words is "two hundred fifty-six million, forty-eight thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1433 1489 2866 2978 4299 4467 5732 5956 7165 7445 8598 8934 11464 11912 14330 14890 17196 17868 21495 22335 28660 29780 34392 35736 42990 44670 57320 59560 85980 89340 171960 178680 2133737 4267474 6401211 8534948 10668685 12802422 17069896 21337370 25604844 32006055 42674740 51209688 64012110 85349480 128024220 256048440