Search a number
-
+
64694496 = 253743907
BaseRepresentation
bin1111011011001…
…0100011100000
311111201211011110
43312302203200
5113030210441
610230343320
71413615456
oct366624340
9144654143
1064694496
1133577a29
12197bab40
1310531989
1488409d6
155a2db16
hex3db28e0

64694496 has 48 divisors (see below), whose sum is σ = 170239104. Its totient is φ = 21512064.

The previous prime is 64694491. The next prime is 64694501. The reversal of 64694496 is 69449646.

64694496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (64694491) and next prime (64694501).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64694491) 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 7 ways as a sum of consecutive naturals, for example, 70875 + ... + 71781.

It is an arithmetic number, because the mean of its divisors is an integer number (3546648).

Almost surely, 264694496 is an apocalyptic number.

It is an amenable number.

64694496 is an abundant number, since it is smaller than the sum of its proper divisors (105544608).

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

64694496 is a wasteful number, since it uses less digits than its factorization.

64694496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1663 (or 1655 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 48.

The square root of 64694496 is about 8043.2888795567. The cubic root of 64694496 is about 401.4416644334.

The spelling of 64694496 in words is "sixty-four million, six hundred ninety-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 743 907 1486 1814 2229 2721 2972 3628 4458 5442 5944 7256 8916 10884 11888 14512 17832 21768 23776 29024 35664 43536 71328 87072 673901 1347802 2021703 2695604 4043406 5391208 8086812 10782416 16173624 21564832 32347248 64694496