Search a number
-
+
64428984 = 23321137919
BaseRepresentation
bin1111010111000…
…1101110111000
311111020022221200
43311301232320
5112443211414
610220534200
71411431414
oct365615670
9144208850
1064428984
11334064a4
12196b1360
131046ab79
1487b1d44
1559ca109
hex3d71bb8

64428984 has 48 divisors (see below), whose sum is σ = 176061600. Its totient is φ = 21283584.

The previous prime is 64428983. The next prime is 64429033. The reversal of 64428984 is 48982446.

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 (64428983) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4177 + ... + 12095.

It is an arithmetic number, because the mean of its divisors is an integer number (3667950).

Almost surely, 264428984 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 64428984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88030800).

64428984 is an abundant number, since it is smaller than the sum of its proper divisors (111632616).

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

64428984 is a wasteful number, since it uses less digits than its factorization.

64428984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8044 (or 8037 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 64428984 is about 8026.7667214140. The cubic root of 64428984 is about 400.8917272457.

The spelling of 64428984 in words is "sixty-four million, four hundred twenty-eight thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 113 226 339 452 678 904 1017 1356 2034 2712 4068 7919 8136 15838 23757 31676 47514 63352 71271 95028 142542 190056 285084 570168 894847 1789694 2684541 3579388 5369082 7158776 8053623 10738164 16107246 21476328 32214492 64428984