Search a number
-
+
5252592 = 2431741157
BaseRepresentation
bin10100000010010111110000
3100212212012110
4110002113300
52321040332
6304325320
762434452
oct24022760
910785173
105252592
112a68394
121913840
13111ba57
149aa2d2
156db4cc
hex5025f0

5252592 has 80 divisors (see below), whose sum is σ = 14811552. Its totient is φ = 1597440.

The previous prime is 5252591. The next prime is 5252603. The reversal of 5252592 is 2952525.

It is a d-powerful number, because it can be written as 55 + 28 + 55 + 220 + 55 + 92 + 222 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5252591) 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, 33378 + ... + 33534.

Almost surely, 25252592 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 5252592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7405776).

5252592 is an abundant number, since it is smaller than the sum of its proper divisors (9558960).

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

5252592 is a wasteful number, since it uses less digits than its factorization.

5252592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 220 counting only the distinct ones).

The product of its digits is 9000, while the sum is 30.

The square root of 5252592 is about 2291.8533984529. The cubic root of 5252592 is about 173.8299302720.

The spelling of 5252592 in words is "five million, two hundred fifty-two thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 41 48 51 68 82 102 123 136 157 164 204 246 272 314 328 408 471 492 628 656 697 816 942 984 1256 1394 1884 1968 2091 2512 2669 2788 3768 4182 5338 5576 6437 7536 8007 8364 10676 11152 12874 16014 16728 19311 21352 25748 32028 33456 38622 42704 51496 64056 77244 102992 109429 128112 154488 218858 308976 328287 437716 656574 875432 1313148 1750864 2626296 5252592