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64438992 = 2432676679
BaseRepresentation
bin1111010111010…
…0001011010000
311111020211200100
43311310023100
5112444021432
610221052400
71411502532
oct365641320
9144224610
1064438992
1133412a72
12196b7100
13104725a7
1487b5852
1559cd07c
hex3d742d0

64438992 has 60 divisors (see below), whose sum is σ = 183058720. Its totient is φ = 21155904.

The previous prime is 64438991. The next prime is 64439029. The reversal of 64438992 is 29983446.

64438992 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (64438991) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 6309 + ... + 12987.

Almost surely, 264438992 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 64438992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91529360).

64438992 is an abundant number, since it is smaller than the sum of its proper divisors (118619728).

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

64438992 is a wasteful number, since it uses less digits than its factorization.

64438992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6760 (or 6751 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 64438992 is about 8027.3901113625. The cubic root of 64438992 is about 400.9124835184.

The spelling of 64438992 in words is "sixty-four million, four hundred thirty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 67 72 134 144 201 268 402 536 603 804 1072 1206 1608 2412 3216 4824 6679 9648 13358 20037 26716 40074 53432 60111 80148 106864 120222 160296 240444 320592 447493 480888 894986 961776 1342479 1789972 2684958 3579944 4027437 5369916 7159888 8054874 10739832 16109748 21479664 32219496 64438992