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64114688 = 212111423
BaseRepresentation
bin1111010010010…
…1000000000000
311110122100211002
43310211000000
5112403132223
610210111132
71405652201
oct364450000
9143570732
1064114688
1133211350
121957b4a8
131038aab1
14872d5a8
155966e28
hex3d25000

64114688 has 52 divisors (see below), whose sum is σ = 139967808. Its totient is φ = 29122560.

The previous prime is 64114681. The next prime is 64114711. The reversal of 64114688 is 88641146.

It is a super-2 number, since 2×641146882 = 8221386434674688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64114681) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 44345 + ... + 45767.

Almost surely, 264114688 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 64114688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69983904).

64114688 is an abundant number, since it is smaller than the sum of its proper divisors (75853120).

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

64114688 is a wasteful number, since it uses less digits than its factorization.

64114688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1458 (or 1436 counting only the distinct ones).

The product of its digits is 36864, while the sum is 38.

The square root of 64114688 is about 8007.1647916101. The cubic root of 64114688 is about 400.2387907524.

The spelling of 64114688 in words is "sixty-four million, one hundred fourteen thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1024 1408 1423 2048 2816 2846 4096 5632 5692 11264 11384 15653 22528 22768 31306 45056 45536 62612 91072 125224 182144 250448 364288 500896 728576 1001792 1457152 2003584 2914304 4007168 5828608 8014336 16028672 32057344 64114688