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64621116 = 22327347739
BaseRepresentation
bin1111011010000…
…0101000111100
311111121002111200
43312200220330
5113020333431
610225015500
71413161520
oct366405074
9144532450
1064621116
113352788a
1219784590
1310507461
148821d80
155a16ee6
hex3da0a3c

64621116 has 72 divisors (see below), whose sum is σ = 187474560. Its totient is φ = 18385056.

The previous prime is 64621103. The next prime is 64621127. The reversal of 64621116 is 61112646.

64621116 is a `hidden beast` number, since 646 + 2 + 1 + 1 + 16 = 666.

64621116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 64621116.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87075 + ... + 87813.

Almost surely, 264621116 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 64621116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93737280).

64621116 is an abundant number, since it is smaller than the sum of its proper divisors (122853444).

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

64621116 is a wasteful number, since it uses less digits than its factorization.

64621116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103 (or 1098 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 64621116 is about 8038.7260184683. The cubic root of 64621116 is about 401.2898280552.

The spelling of 64621116 in words is "sixty-four million, six hundred twenty-one thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 347 694 739 1041 1388 1478 2082 2217 2429 2956 3123 4164 4434 4858 5173 6246 6651 7287 8868 9716 10346 12492 13302 14574 15519 20692 21861 26604 29148 31038 43722 46557 62076 87444 93114 186228 256433 512866 769299 1025732 1538598 1795031 2307897 3077196 3590062 4615794 5385093 7180124 9231588 10770186 16155279 21540372 32310558 64621116