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5256576 = 2735132
BaseRepresentation
bin10100000011010110000000
3100220001200000
4110003112000
52321202301
6304400000
762452203
oct24032600
910801600
105256576
112a70386
121916000
131120800
149ab93a
156dc786
hex503580

5256576 has 144 divisors (see below), whose sum is σ = 16986060. Its totient is φ = 1617408.

The previous prime is 5256547. The next prime is 5256583. The reversal of 5256576 is 6756525.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

5256576 is a `hidden beast` number, since 525 + 65 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

Its product of digits (63000) is a multiple of the sum of its prime divisors (18).

It is a self number, because there is not a number n which added to its sum of digits gives 5256576.

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 17 ways as a sum of consecutive naturals, for example, 404346 + ... + 404358.

Almost surely, 25256576 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 5256576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8493030).

5256576 is an abundant number, since it is smaller than the sum of its proper divisors (11729484).

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

5256576 is an equidigital number, since it uses as much as digits as its factorization.

5256576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 18 counting only the distinct ones).

The product of its digits is 63000, while the sum is 36.

The square root of 5256576 is about 2292.7223992451. The cubic root of 5256576 is about 173.8738681616.

It can be divided in two parts, 5256 and 576, that added together give a cube (5832 = 183).

The spelling of 5256576 in words is "five million, two hundred fifty-six thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 128 144 156 162 169 192 208 216 234 243 288 312 324 338 351 384 416 432 468 486 507 576 624 648 676 702 832 864 936 972 1014 1053 1152 1248 1296 1352 1404 1521 1664 1728 1872 1944 2028 2106 2496 2592 2704 2808 3042 3159 3456 3744 3888 4056 4212 4563 4992 5184 5408 5616 6084 6318 7488 7776 8112 8424 9126 10368 10816 11232 12168 12636 13689 14976 15552 16224 16848 18252 21632 22464 24336 25272 27378 31104 32448 33696 36504 41067 44928 48672 50544 54756 64896 67392 73008 82134 97344 101088 109512 134784 146016 164268 194688 202176 219024 292032 328536 404352 438048 584064 657072 876096 1314144 1752192 2628288 5256576