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5485536 = 25337907
BaseRepresentation
bin10100111011001111100000
3101022200202000
4110323033200
52401014121
6313324000
764424550
oct24731740
911280660
105485536
113107401
121a06600
1311a0aa4
14a2b160
15735526
hex53b3e0

5485536 has 96 divisors (see below), whose sum is σ = 18305280. Its totient is φ = 1565568.

The previous prime is 5485499. The next prime is 5485537. The reversal of 5485536 is 6355845.

5485536 = T175 + T176 + ... + T336.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×54855362 = 60182210414592, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5485536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5485537) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5595 + ... + 6501.

It is an arithmetic number, because the mean of its divisors is an integer number (190680).

Almost surely, 25485536 is an apocalyptic number.

5485536 is a gapful number since it is divisible by the number (56) 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 5485536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9152640).

5485536 is an abundant number, since it is smaller than the sum of its proper divisors (12819744).

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

5485536 is a wasteful number, since it uses less digits than its factorization.

5485536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933 (or 919 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 5485536 is about 2342.1221146644. The cubic root of 5485536 is about 176.3625446877.

It can be divided in two parts, 548 and 5536, that added together give a square (6084 = 782).

The spelling of 5485536 in words is "five million, four hundred eighty-five thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 907 1008 1512 1814 2016 2721 3024 3628 5442 6048 6349 7256 8163 10884 12698 14512 16326 19047 21768 24489 25396 29024 32652 38094 43536 48978 50792 57141 65304 76188 87072 97956 101584 114282 130608 152376 171423 195912 203168 228564 261216 304752 342846 391824 457128 609504 685692 783648 914256 1371384 1828512 2742768 5485536