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64421136 = 24331311471
BaseRepresentation
bin1111010110111…
…1110100010000
311111012221012000
43311233310100
5112442434021
610220434000
71411366503
oct365576420
9144187160
1064421136
113340060a
12196a8900
1310467420
1487ad13a
1559c7b26
hex3d6fd10

64421136 has 80 divisors (see below), whose sum is σ = 199153920. Its totient is φ = 19820160.

The previous prime is 64421111. The next prime is 64421179. The reversal of 64421136 is 63112446.

64421136 is a `hidden beast` number, since 644 + 2 + 1 + 13 + 6 = 666.

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

It is a nude number because it is divisible by every one of its digits.

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, 120 + ... + 11351.

It is an arithmetic number, because the mean of its divisors is an integer number (2489424).

Almost surely, 264421136 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 64421136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99576960).

64421136 is an abundant number, since it is smaller than the sum of its proper divisors (134732784).

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

64421136 is a wasteful number, since it uses less digits than its factorization.

64421136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11501 (or 11489 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 64421136 is about 8026.2778421881. The cubic root of 64421136 is about 400.8754492404.

The spelling of 64421136 in words is "sixty-four million, four hundred twenty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1404 1872 2808 5616 11471 22942 34413 45884 68826 91768 103239 137652 149123 183536 206478 275304 298246 309717 412956 447369 550608 596492 619434 825912 894738 1192984 1238868 1342107 1651824 1789476 2385968 2477736 2684214 3578952 4026321 4955472 5368428 7157904 8052642 10736856 16105284 21473712 32210568 64421136