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64640916 = 223573911
BaseRepresentation
bin1111011010010…
…1011110010100
311111122002200000
43312211132110
5113022002131
610225251300
71413303324
oct366453624
9144562600
1064640916
113354074a
1219793b30
1310513482
148829284
155a1cce6
hex3da5794

64640916 has 72 divisors (see below), whose sum is σ = 171959424. Its totient is φ = 21228480.

The previous prime is 64640861. The next prime is 64640923. The reversal of 64640916 is 61904646.

64640916 is a `hidden beast` number, since 6 + 4 + 640 + 9 + 1 + 6 = 666.

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

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70501 + ... + 71411.

Almost surely, 264640916 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 64640916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85979712).

64640916 is an abundant number, since it is smaller than the sum of its proper divisors (107318508).

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

64640916 is a wasteful number, since it uses less digits than its factorization.

64640916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003 (or 989 counting only the distinct ones).

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

The square root of 64640916 is about 8039.9574625740. The cubic root of 64640916 is about 401.3308091241.

It can be divided in two parts, 64640 and 916, that added together give a palindrome (65556).

The spelling of 64640916 in words is "sixty-four million, six hundred forty thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 73 81 108 146 162 219 243 292 324 438 486 657 876 911 972 1314 1822 1971 2628 2733 3644 3942 5466 5913 7884 8199 10932 11826 16398 17739 23652 24597 32796 35478 49194 66503 70956 73791 98388 133006 147582 199509 221373 266012 295164 399018 442746 598527 798036 885492 1197054 1795581 2394108 3591162 5386743 7182324 10773486 16160229 21546972 32320458 64640916