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64939968 = 263412527
BaseRepresentation
bin1111011110111…
…0011111000000
311112012021220000
43313232133000
5113111034333
610235520000
71415660232
oct367563700
9145167800
1064939968
11337253a5
12198b9000
13105b9622
1488a6252
155a7b713
hex3dee7c0

64939968 has 70 divisors (see below), whose sum is σ = 192517776. Its totient is φ = 21644928.

The previous prime is 64939957. The next prime is 64939969. The reversal of 64939968 is 86993946.

It is a happy number.

64939968 is a `hidden beast` number, since 6 + 493 + 99 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64939969) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1080 + ... + 11447.

Almost surely, 264939968 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 64939968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96258888).

64939968 is an abundant number, since it is smaller than the sum of its proper divisors (127577808).

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

64939968 is a wasteful number, since it uses less digits than its factorization.

64939968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12551 (or 12532 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 54.

The square root of 64939968 is about 8058.5338616897. The cubic root of 64939968 is about 401.9487571128.

It can be divided in two parts, 6493 and 9968, that added together give a palindrome (16461).

The spelling of 64939968 in words is "sixty-four million, nine hundred thirty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 12527 25054 37581 50108 75162 100216 112743 150324 200432 225486 300648 338229 400864 450972 601296 676458 801728 901944 1014687 1202592 1352916 1803888 2029374 2405184 2705832 3607776 4058748 5411664 7215552 8117496 10823328 16234992 21646656 32469984 64939968