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5465664 = 26333163
BaseRepresentation
bin10100110110011001000000
3101021200111000
4110312121000
52344400124
6313052000
764312611
oct24663100
911250430
105465664
1130a3486
1219b7000
131194a29
14a23c08
1572e6c9
hex536640

5465664 has 56 divisors (see below), whose sum is σ = 16073120. Its totient is φ = 1821312.

The previous prime is 5465627. The next prime is 5465671. The reversal of 5465664 is 4665645.

It is a happy number.

5465664 is a `hidden beast` number, since 546 + 56 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 147 + ... + 3309.

It is an arithmetic number, because the mean of its divisors is an integer number (287020).

Almost surely, 25465664 is an apocalyptic number.

5465664 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5465664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8036560).

5465664 is an abundant number, since it is smaller than the sum of its proper divisors (10607456).

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

5465664 is a wasteful number, since it uses less digits than its factorization.

5465664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3184 (or 3168 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 5465664 is about 2337.8759590705. The cubic root of 5465664 is about 176.1493223116.

The spelling of 5465664 in words is "five million, four hundred sixty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 3163 6326 9489 12652 18978 25304 28467 37956 50608 56934 75912 85401 101216 113868 151824 170802 202432 227736 303648 341604 455472 607296 683208 910944 1366416 1821888 2732832 5465664