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5795232 = 253175367
BaseRepresentation
bin10110000110110110100000
3101220102120020
4112012312200
52440421412
6324113440
7100154502
oct26066640
911812506
105795232
1132a9053
121b35880
13127ba41
14aabd72
1579718c
hex586da0

5795232 has 96 divisors (see below), whose sum is σ = 16656192. Its totient is φ = 1757184.

The previous prime is 5795221. The next prime is 5795261. The reversal of 5795232 is 2325975.

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

Its product of digits (18900) is a multiple of the sum of its prime factors (150).

It is a junction number, because it is equal to n+sod(n) for n = 5795193 and 5795202.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86463 + ... + 86529.

It is an arithmetic number, because the mean of its divisors is an integer number (173502).

Almost surely, 25795232 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 5795232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8328096).

5795232 is an abundant number, since it is smaller than the sum of its proper divisors (10860960).

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

5795232 is a wasteful number, since it uses less digits than its factorization.

5795232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 142 counting only the distinct ones).

The product of its digits is 18900, while the sum is 33.

The square root of 5795232 is about 2407.3288101130. The cubic root of 5795232 is about 179.6209306579.

The spelling of 5795232 in words is "five million, seven hundred ninety-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 53 67 68 96 102 106 134 136 159 201 204 212 268 272 318 402 408 424 536 544 636 804 816 848 901 1072 1139 1272 1608 1632 1696 1802 2144 2278 2544 2703 3216 3417 3551 3604 4556 5088 5406 6432 6834 7102 7208 9112 10653 10812 13668 14204 14416 18224 21306 21624 27336 28408 28832 36448 42612 43248 54672 56816 60367 85224 86496 109344 113632 120734 170448 181101 241468 340896 362202 482936 724404 965872 1448808 1931744 2897616 5795232