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5216832 = 26333019
BaseRepresentation
bin10011111001101001000000
3100211001011000
4103321221000
52313414312
6303452000
762225265
oct23715100
910731130
105216832
112a43535
1218b7000
1311086aa
1499b26c
156d0adc
hex4f9a40

5216832 has 56 divisors (see below), whose sum is σ = 15341600. Its totient is φ = 1738368.

The previous prime is 5216801. The next prime is 5216833. The reversal of 5216832 is 2386125.

It is a super-2 number, since 2×52168322 = 54430672232448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 5216796 and 5216805.

It is not an unprimeable number, because it can be changed into a prime (5216833) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 219 + ... + 3237.

Almost surely, 25216832 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 5216832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7670800).

5216832 is an abundant number, since it is smaller than the sum of its proper divisors (10124768).

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

5216832 is a wasteful number, since it uses less digits than its factorization.

5216832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3040 (or 3024 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 5216832 is about 2284.0385285717. The cubic root of 5216832 is about 173.4345496942.

The spelling of 5216832 in words is "five million, two hundred sixteen thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 3019 6038 9057 12076 18114 24152 27171 36228 48304 54342 72456 81513 96608 108684 144912 163026 193216 217368 289824 326052 434736 579648 652104 869472 1304208 1738944 2608416 5216832