Search a number
-
+
5527872 = 26337457
BaseRepresentation
bin10101000101100101000000
3101101211211000
4111011211000
52403342442
6314252000
764662150
oct25054500
911354730
105527872
113136199
121a27000
1311b713c
14a3c760
15742d4c
hex545940

5527872 has 112 divisors (see below), whose sum is σ = 18613120. Its totient is φ = 1575936.

The previous prime is 5527861. The next prime is 5527877. The reversal of 5527872 is 2787255.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5527877) 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, 11868 + ... + 12324.

Almost surely, 25527872 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 5527872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9306560).

5527872 is an abundant number, since it is smaller than the sum of its proper divisors (13085248).

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

5527872 is a wasteful number, since it uses less digits than its factorization.

5527872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 469 counting only the distinct ones).

The product of its digits is 39200, while the sum is 36.

The square root of 5527872 is about 2351.1427009010. The cubic root of 5527872 is about 176.8150898581.

The spelling of 5527872 in words is "five million, five hundred twenty-seven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 457 504 576 672 756 864 914 1008 1344 1371 1512 1728 1828 2016 2742 3024 3199 3656 4032 4113 5484 6048 6398 7312 8226 9597 10968 12096 12339 12796 14624 16452 19194 21936 24678 25592 28791 29248 32904 38388 43872 49356 51184 57582 65808 76776 86373 87744 98712 102368 115164 131616 153552 172746 197424 204736 230328 263232 307104 345492 394848 460656 614208 690984 789696 921312 1381968 1842624 2763936 5527872