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6400464 = 243743443
BaseRepresentation
bin11000011010100111010000
3110001011210020
4120122213100
53114303324
6345103440
7105255150
oct30324720
913034706
106400464
113681844
122187b80
131431375
14bc8760
15866679
hex61a9d0

6400464 has 80 divisors (see below), whose sum is σ = 19379712. Its totient is φ = 1782144.

The previous prime is 6400453. The next prime is 6400489. The reversal of 6400464 is 4640046.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14227 + ... + 14669.

Almost surely, 26400464 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 6400464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9689856).

6400464 is an abundant number, since it is smaller than the sum of its proper divisors (12979248).

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

6400464 is a wasteful number, since it uses less digits than its factorization.

6400464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 6400464 is about 2529.9138325247. The cubic root of 6400464 is about 185.6680401053.

The spelling of 6400464 in words is "six million, four hundred thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 43 48 56 84 86 112 129 168 172 258 301 336 344 443 516 602 688 886 903 1032 1204 1329 1772 1806 2064 2408 2658 3101 3544 3612 4816 5316 6202 7088 7224 9303 10632 12404 14448 18606 19049 21264 24808 37212 38098 49616 57147 74424 76196 114294 133343 148848 152392 228588 266686 304784 400029 457176 533372 800058 914352 1066744 1600116 2133488 3200232 6400464