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5362752 = 263173153
BaseRepresentation
bin10100011101010001000000
3101002110022110
4110131101000
52333102002
6310535320
763403563
oct24352100
911073273
105362752
11303312a
121967540
131159c35
149d84da
1570de6c
hex51d440

5362752 has 112 divisors (see below), whose sum is σ = 15800832. Its totient is φ = 1597440.

The previous prime is 5362751. The next prime is 5362771. The reversal of 5362752 is 2572635.

It is a d-powerful number, because it can be written as 5 + 37 + 6 + 220 + 76 + 52 + 222 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5362751) 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, 101158 + ... + 101210.

Almost surely, 25362752 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 5362752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7900416).

5362752 is an abundant number, since it is smaller than the sum of its proper divisors (10438080).

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

5362752 is a wasteful number, since it uses less digits than its factorization.

5362752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 106 counting only the distinct ones).

The product of its digits is 12600, while the sum is 30.

The square root of 5362752 is about 2315.7616457658. The cubic root of 5362752 is about 175.0367487451.

The spelling of 5362752 in words is "five million, three hundred sixty-two thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 32 34 48 51 53 62 64 68 93 96 102 106 124 136 159 186 192 204 212 248 272 318 372 408 424 496 527 544 636 744 816 848 901 992 1054 1088 1272 1488 1581 1632 1643 1696 1802 1984 2108 2544 2703 2976 3162 3264 3286 3392 3604 4216 4929 5088 5406 5952 6324 6572 7208 8432 9858 10176 10812 12648 13144 14416 16864 19716 21624 25296 26288 27931 28832 33728 39432 43248 50592 52576 55862 57664 78864 83793 86496 101184 105152 111724 157728 167586 172992 223448 315456 335172 446896 670344 893792 1340688 1787584 2681376 5362752