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5254656 = 29311311
BaseRepresentation
bin10100000010111000000000
3100212222000220
4110002320000
52321122111
6304343040
762443461
oct24027000
910788026
105254656
112a699a0
121914a80
13111c984
149aad68
156dbe06
hex502e00

5254656 has 80 divisors (see below), whose sum is σ = 15320448. Its totient is φ = 1587200.

The previous prime is 5254651. The next prime is 5254661. The reversal of 5254656 is 6564525.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5254651) and next prime (5254661).

It is a super-2 number, since 2×52546562 = 55222819356672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5254651) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16741 + ... + 17051.

Almost surely, 25254656 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 5254656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7660224).

5254656 is an abundant number, since it is smaller than the sum of its proper divisors (10065792).

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

5254656 is a wasteful number, since it uses less digits than its factorization.

5254656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 327 counting only the distinct ones).

The product of its digits is 36000, while the sum is 33.

The square root of 5254656 is about 2292.3036448080. The cubic root of 5254656 is about 173.8526960475.

The spelling of 5254656 in words is "five million, two hundred fifty-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 311 352 384 512 528 622 704 768 933 1056 1244 1408 1536 1866 2112 2488 2816 3421 3732 4224 4976 5632 6842 7464 8448 9952 10263 13684 14928 16896 19904 20526 27368 29856 39808 41052 54736 59712 79616 82104 109472 119424 159232 164208 218944 238848 328416 437888 477696 656832 875776 1313664 1751552 2627328 5254656