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64252104 = 23371812113
BaseRepresentation
bin1111010100011…
…0100011001000
311110220100022120
43311012203020
5112422031404
610213051240
71410063630
oct365064310
9143810276
1064252104
11332a5614
1219626b20
13104084c7
1487676c0
1559929d9
hex3d468c8

64252104 has 64 divisors (see below), whose sum is σ = 184679040. Its totient is φ = 18247680.

The previous prime is 64252103. The next prime is 64252151. The reversal of 64252104 is 40125246.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (64252103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29352 + ... + 31464.

It is an arithmetic number, because the mean of its divisors is an integer number (2885610).

Almost surely, 264252104 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 64252104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92339520).

64252104 is an abundant number, since it is smaller than the sum of its proper divisors (120426936).

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

64252104 is a wasteful number, since it uses less digits than its factorization.

64252104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2310 (or 2306 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 64252104 is about 8015.7410137803. The cubic root of 64252104 is about 400.5245285405.

The spelling of 64252104 in words is "sixty-four million, two hundred fifty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 181 362 543 724 1086 1267 1448 2113 2172 2534 3801 4226 4344 5068 6339 7602 8452 10136 12678 14791 15204 16904 25356 29582 30408 44373 50712 59164 88746 118328 177492 354984 382453 764906 1147359 1529812 2294718 2677171 3059624 4589436 5354342 8031513 9178872 10708684 16063026 21417368 32126052 64252104