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64456812 = 223273137223
BaseRepresentation
bin1111010111100…
…0100001101100
311111021202010100
43311320201230
5113000104222
610221311100
71411605510
oct365704154
9144252110
1064456812
11334253a2
1219705490
131047a734
1487bc140
1559d34ac
hex3d7886c

64456812 has 144 divisors (see below), whose sum is σ = 198295552. Its totient is φ = 17262720.

The previous prime is 64456801. The next prime is 64456841. The reversal of 64456812 is 21865446.

64456812 is a `hidden beast` number, since 644 + 5 + 6 + 8 + 1 + 2 = 666.

It is a super-2 number, since 2×644568122 = 8309361226406688, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 288933 + ... + 289155.

Almost surely, 264456812 is an apocalyptic number.

64456812 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is a pronic number, being equal to 8028×8029.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64456812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99147776).

64456812 is an abundant number, since it is smaller than the sum of its proper divisors (133838740).

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

64456812 is a wasteful number, since it uses less digits than its factorization.

64456812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 303 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 64456812 is about 8028.4999844305. The cubic root of 64456812 is about 400.9494363104.

The spelling of 64456812 in words is "sixty-four million, four hundred fifty-six thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 37 42 62 63 74 84 93 111 124 126 148 186 217 222 223 252 259 279 333 372 434 444 446 518 558 651 666 669 777 868 892 1036 1116 1147 1302 1332 1338 1554 1561 1953 2007 2294 2331 2604 2676 3108 3122 3441 3906 4014 4588 4662 4683 6244 6882 6913 7812 8028 8029 8251 9324 9366 10323 13764 13826 14049 16058 16502 18732 20646 20739 24087 24753 27652 28098 32116 33004 41292 41478 48174 48391 49506 56196 57757 62217 72261 74259 82956 96348 96782 99012 115514 124434 144522 145173 148518 173271 193564 231028 248868 255781 289044 290346 297036 346542 435519 511562 519813 580692 693084 767343 871038 1023124 1039626 1534686 1742076 1790467 2079252 2302029 3069372 3580934 4604058 5371401 7161868 9208116 10742802 16114203 21485604 32228406 64456812