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41056128 = 2732157227
BaseRepresentation
bin1001110010011…
…1011110000000
32212020212102100
42130213132000
541002244003
64023550400
71005654111
oct234473600
985225370
1041056128
11211a2093
12118bb400
138676489
14564a208
15390eba3
hex2727780

41056128 has 96 divisors (see below), whose sum is σ = 119419560. Its totient is φ = 13538304.

The previous prime is 41056117. The next prime is 41056133. The reversal of 41056128 is 82165014.

41056128 is a `hidden beast` number, since 41 + 0 + 5 + 612 + 8 = 666.

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

It is a congruent number.

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, 180751 + ... + 180977.

Almost surely, 241056128 is an apocalyptic number.

41056128 is a gapful number since it is divisible by the number (48) 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 41056128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59709780).

41056128 is an abundant number, since it is smaller than the sum of its proper divisors (78363432).

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

41056128 is a wasteful number, since it uses less digits than its factorization.

41056128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 41056128 is about 6407.5055989051. The cubic root of 41056128 is about 344.9790031330.

The spelling of 41056128 in words is "forty-one million, fifty-six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 157 192 227 288 314 384 454 471 576 628 681 908 942 1152 1256 1362 1413 1816 1884 2043 2512 2724 2826 3632 3768 4086 5024 5448 5652 7264 7536 8172 10048 10896 11304 14528 15072 16344 20096 21792 22608 29056 30144 32688 35639 43584 45216 60288 65376 71278 87168 90432 106917 130752 142556 180864 213834 261504 285112 320751 427668 570224 641502 855336 1140448 1283004 1710672 2280896 2566008 3421344 4561792 5132016 6842688 10264032 13685376 20528064 41056128