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36421056 = 263373011
BaseRepresentation
bin1000101011101…
…1110111000000
32112112101022000
42022323313000
533310433211
63340344000
7621400560
oct212736700
975471260
1036421056
1119616751
1210245000
137712829
144ba0da0
1532e6656
hex22bbdc0

36421056 has 112 divisors (see below), whose sum is σ = 122407680. Its totient is φ = 10402560.

The previous prime is 36421051. The next prime is 36421069. The reversal of 36421056 is 65012463.

36421056 is a `hidden beast` number, since 3 + 642 + 10 + 5 + 6 = 666.

36421056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36421051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10591 + ... + 13601.

Almost surely, 236421056 is an apocalyptic number.

36421056 is a gapful number since it is divisible by the number (36) 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 36421056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61203840).

36421056 is an abundant number, since it is smaller than the sum of its proper divisors (85986624).

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

36421056 is a wasteful number, since it uses less digits than its factorization.

36421056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3039 (or 3023 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 36421056 is about 6034.9859983268. The cubic root of 36421056 is about 331.4750498206.

The spelling of 36421056 in words is "thirty-six million, four hundred twenty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3011 3024 4032 6022 6048 9033 12044 12096 18066 21077 24088 27099 36132 42154 48176 54198 63231 72264 81297 84308 96352 108396 126462 144528 162594 168616 189693 192704 216792 252924 289056 325188 337232 379386 433584 505848 569079 578112 650376 674464 758772 867168 1011696 1138158 1300752 1348928 1517544 1734336 2023392 2276316 2601504 3035088 4046784 4552632 5203008 6070176 9105264 12140352 18210528 36421056