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5295456 = 2536227
BaseRepresentation
bin10100001100110101100000
3100222001000000
4110030311200
52323423311
6305300000
763003435
oct24146540
910861000
105295456
112a97611
121934600
13113540a
149bbb8c
156e9056
hex50cd60

5295456 has 84 divisors (see below), whose sum is σ = 15699852. Its totient is φ = 1757376.

The previous prime is 5295439. The next prime is 5295463. The reversal of 5295456 is 6545925.

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

It is a d-powerful number, because it can be written as 57 + 213 + 97 + 57 + 49 + 57 + 65 .

It is a self number, because there is not a number n which added to its sum of digits gives 5295456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 23215 + ... + 23441.

It is an arithmetic number, because the mean of its divisors is an integer number (186903).

Almost surely, 25295456 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 5295456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7849926).

5295456 is an abundant number, since it is smaller than the sum of its proper divisors (10404396).

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

5295456 is an equidigital number, since it uses as much as digits as its factorization.

5295456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 232 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

The square root of 5295456 is about 2301.1857812876. The cubic root of 5295456 is about 174.3014986792.

The spelling of 5295456 in words is "five million, two hundred ninety-five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 227 243 288 324 432 454 486 648 681 729 864 908 972 1296 1362 1458 1816 1944 2043 2592 2724 2916 3632 3888 4086 5448 5832 6129 7264 7776 8172 10896 11664 12258 16344 18387 21792 23328 24516 32688 36774 49032 55161 65376 73548 98064 110322 147096 165483 196128 220644 294192 330966 441288 588384 661932 882576 1323864 1765152 2647728 5295456