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5393664 = 28322341
BaseRepresentation
bin10100100100110100000000
3101011000201100
4110210310000
52340044124
6311334400
763562653
oct24446400
911130640
105393664
113054381
121981400
13116b023
14a0589a
157181c9
hex524d00

5393664 has 54 divisors (see below), whose sum is σ = 15557906. Its totient is φ = 1797120.

The previous prime is 5393653. The next prime is 5393677. The reversal of 5393664 is 4663935.

It can be written as a sum of positive squares in only one way, i.e., 4875264 + 518400 = 2208^2 + 720^2 .

It is a super-2 number, since 2×53936642 = 58183222689792, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1134 + ... + 3474.

Almost surely, 25393664 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 5393664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7778953).

5393664 is an abundant number, since it is smaller than the sum of its proper divisors (10164242).

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

5393664 is a wasteful number, since it uses less digits than its factorization.

5393664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2363 (or 2346 counting only the distinct ones).

The product of its digits is 58320, while the sum is 36.

The square root of 5393664 is about 2322.4263174534. The cubic root of 5393664 is about 175.3724204888.

The spelling of 5393664 in words is "five million, three hundred ninety-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 2341 4682 7023 9364 14046 18728 21069 28092 37456 42138 56184 74912 84276 112368 149824 168552 224736 299648 337104 449472 599296 674208 898944 1348416 1797888 2696832 5393664