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64099044 = 223217261101
BaseRepresentation
bin1111010010000…
…1001011100100
311110121120100200
43310201023210
5112402132134
610205510500
71405555452
oct364411344
9143546320
1064099044
1133200619
1219572430
1310383939
1487279d2
155962499
hex3d212e4

64099044 has 108 divisors (see below), whose sum is σ = 176673588. Its totient is φ = 19584000.

The previous prime is 64099043. The next prime is 64099051. The reversal of 64099044 is 44099046.

64099044 is a `hidden beast` number, since 640 + 9 + 9 + 0 + 4 + 4 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 5116644 + 58982400 = 2262^2 + 7680^2 .

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

It is not an unprimeable number, because it can be changed into a prime (64099043) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 634594 + ... + 634694.

Almost surely, 264099044 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 64099044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88336794).

64099044 is an abundant number, since it is smaller than the sum of its proper divisors (112574544).

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

64099044 is a wasteful number, since it uses less digits than its factorization.

64099044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 64099044 is about 8006.1878569017. The cubic root of 64099044 is about 400.2062353159.

The spelling of 64099044 in words is "sixty-four million, ninety-nine thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 61 68 101 102 122 153 183 202 204 244 289 303 306 366 404 549 578 606 612 732 867 909 1037 1098 1156 1212 1717 1734 1818 2074 2196 2601 3111 3434 3468 3636 4148 5151 5202 6161 6222 6868 9333 10302 10404 12322 12444 15453 17629 18483 18666 20604 24644 29189 30906 35258 36966 37332 52887 55449 58378 61812 70516 73932 87567 104737 105774 110898 116756 158661 175134 209474 211548 221796 262701 314211 317322 350268 418948 525402 628422 634644 942633 1050804 1256844 1780529 1885266 3561058 3770532 5341587 7122116 10683174 16024761 21366348 32049522 64099044