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5694624 = 2534133
BaseRepresentation
bin10101101110010010100000
3101201022120000
4111232102200
52424211444
6322020000
766255255
oct25562240
911638500
105694624
11323a501
121aa7600
131245000
14a8342c
15777469
hex56e4a0

5694624 has 120 divisors (see below), whose sum is σ = 18142740. Its totient is φ = 1752192.

The previous prime is 5694581. The next prime is 5694649. The reversal of 5694624 is 4264965.

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.

It can be written as a sum of positive squares in 2 ways, for example, as 1774224 + 3920400 = 1332^2 + 1980^2 .

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

Its product of digits (51840) is a multiple of the sum of its prime divisors (18).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 438042 + ... + 438054.

Almost surely, 25694624 is an apocalyptic number.

5694624 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 5694624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9071370).

5694624 is an abundant number, since it is smaller than the sum of its proper divisors (12448116).

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

5694624 is an equidigital number, since it uses as much as digits as its factorization.

5694624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 18 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 5694624 is about 2386.3411323614. The cubic root of 5694624 is about 178.5754218383.

The spelling of 5694624 in words is "five million, six hundred ninety-four thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 81 96 104 108 117 144 156 162 169 208 216 234 288 312 324 338 351 416 432 468 507 624 648 676 702 864 936 1014 1053 1248 1296 1352 1404 1521 1872 2028 2106 2197 2592 2704 2808 3042 3744 4056 4212 4394 4563 5408 5616 6084 6591 8112 8424 8788 9126 11232 12168 13182 13689 16224 16848 17576 18252 19773 24336 26364 27378 33696 35152 36504 39546 48672 52728 54756 59319 70304 73008 79092 105456 109512 118638 146016 158184 177957 210912 219024 237276 316368 355914 438048 474552 632736 711828 949104 1423656 1898208 2847312 5694624