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5210352 = 243371723
BaseRepresentation
bin10011111000000011110000
3100210201021000
4103320003300
52313212402
6303402000
762200350
oct23700360
910721230
105210352
112a39684
1218b3300
131105764
14998b60
156cdc1c
hex4f80f0

5210352 has 80 divisors (see below), whose sum is σ = 17102080. Its totient is φ = 1487808.

The previous prime is 5210339. The next prime is 5210363. The reversal of 5210352 is 2530125.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 2163 + ... + 3885.

It is an arithmetic number, because the mean of its divisors is an integer number (213776).

Almost surely, 25210352 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 5210352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8551040).

5210352 is an abundant number, since it is smaller than the sum of its proper divisors (11891728).

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

5210352 is a wasteful number, since it uses less digits than its factorization.

5210352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1747 (or 1735 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 5210352 is about 2282.6195478003. The cubic root of 5210352 is about 173.3627103397.

Adding to 5210352 its reverse (2530125), we get a palindrome (7740477).

It can be divided in two parts, 52 and 10352, that added together give a square (10404 = 1022).

The spelling of 5210352 in words is "five million, two hundred ten thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 1723 3024 3446 5169 6892 10338 12061 13784 15507 20676 24122 27568 31014 36183 41352 46521 48244 62028 72366 82704 93042 96488 108549 124056 144732 186084 192976 217098 248112 289464 325647 372168 434196 578928 651294 744336 868392 1302588 1736784 2605176 5210352