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64464416 = 2519229463
BaseRepresentation
bin1111010111101…
…0011000100000
311111022010112222
43311322120200
5113000330131
610221410212
71411636622
oct365723040
9144263488
1064464416
1133430085
1219709968
1310481033
1487c0c12
1559d587b
hex3d7a620

64464416 has 48 divisors (see below), whose sum is σ = 134467200. Its totient is φ = 30336768.

The previous prime is 64464409. The next prime is 64464431. The reversal of 64464416 is 61446446.

64464416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 7 ways as a sum of consecutive naturals, for example, 139001 + ... + 139463.

It is an arithmetic number, because the mean of its divisors is an integer number (2801400).

Almost surely, 264464416 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 64464416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67233600).

64464416 is an abundant number, since it is smaller than the sum of its proper divisors (70002784).

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

64464416 is a wasteful number, since it uses less digits than its factorization.

64464416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 713 counting only the distinct ones).

The product of its digits is 55296, while the sum is 35.

The square root of 64464416 is about 8028.9735333977. The cubic root of 64464416 is about 400.9652024207.

The spelling of 64464416 in words is "sixty-four million, four hundred sixty-four thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 19 32 38 76 152 229 304 458 463 608 916 926 1832 1852 3664 3704 4351 7328 7408 8702 8797 14816 17404 17594 34808 35188 69616 70376 106027 139232 140752 212054 281504 424108 848216 1696432 2014513 3392864 4029026 8058052 16116104 32232208 64464416