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64444536 = 233213312221
BaseRepresentation
bin1111010111010…
…1100001111000
311111021010021200
43311311201320
5112444211121
610221134200
71411524642
oct365654170
9144233250
1064444536
1133417152
12196ba360
1310474c80
1487b7892
1559cea26
hex3d75878

64444536 has 96 divisors (see below), whose sum is σ = 194113920. Its totient is φ = 19180800.

The previous prime is 64444517. The next prime is 64444537. The reversal of 64444536 is 63544446.

64444536 is a `hidden beast` number, since 644 + 4 + 4 + 5 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 64444536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64444537) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27906 + ... + 30126.

It is an arithmetic number, because the mean of its divisors is an integer number (2022020).

Almost surely, 264444536 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 64444536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97056960).

64444536 is an abundant number, since it is smaller than the sum of its proper divisors (129669384).

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

64444536 is a wasteful number, since it uses less digits than its factorization.

64444536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2277 (or 2270 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The square root of 64444536 is about 8027.7354216491. The cubic root of 64444536 is about 400.9239806725.

It can be divided in two parts, 64444 and 536, that added together give a triangular number (64980 = T360).

The spelling of 64444536 in words is "sixty-four million, four hundred forty-four thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 31 36 39 52 62 72 78 93 104 117 124 156 186 234 248 279 312 372 403 468 558 744 806 936 1116 1209 1612 2221 2232 2418 3224 3627 4442 4836 6663 7254 8884 9672 13326 14508 17768 19989 26652 28873 29016 39978 53304 57746 68851 79956 86619 115492 137702 159912 173238 206553 230984 259857 275404 346476 413106 519714 550808 619659 692952 826212 895063 1039428 1239318 1652424 1790126 2078856 2478636 2685189 3580252 4957272 5370378 7160504 8055567 10740756 16111134 21481512 32222268 64444536