Search a number
-
+
252652530 = 235131275101
BaseRepresentation
bin11110000111100…
…10101111110010
3122121102002010010
433003302233302
51004134340110
641023115350
76155340204
oct1703625762
9577362103
10252652530
1111a685649
1270742b56
1340460b50
14257aa774
15172aa020
hexf0f2bf2

252652530 has 64 divisors (see below), whose sum is σ = 658280448. Its totient is φ = 61689600.

The previous prime is 252652529. The next prime is 252652541. The reversal of 252652530 is 35256252.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46980 + ... + 52080.

It is an arithmetic number, because the mean of its divisors is an integer number (10285632).

Almost surely, 2252652530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252652530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329140224).

252652530 is an abundant number, since it is smaller than the sum of its proper divisors (405627918).

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

252652530 is a wasteful number, since it uses less digits than its factorization.

252652530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5251.

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 252652530 is about 15895.0473418609. The cubic root of 252652530 is about 632.1806769254.

The spelling of 252652530 in words is "two hundred fifty-two million, six hundred fifty-two thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 127 130 195 254 381 390 635 762 1270 1651 1905 3302 3810 4953 5101 8255 9906 10202 15303 16510 24765 25505 30606 49530 51010 66313 76515 132626 153030 198939 331565 397878 647827 663130 994695 1295654 1943481 1989390 3239135 3886962 6478270 8421751 9717405 16843502 19434810 25265253 42108755 50530506 84217510 126326265 252652530