Search a number
-
+
252782316 = 2233171311051
BaseRepresentation
bin11110001000100…
…10011011101100
3122121122200011000
433010102123230
51004203013231
641030000300
76156420453
oct1704223354
9577580130
10252782316
1111a764106
12707a6090
13404a7c47
1425801b9a
15172d36e6
hexf1126ec

252782316 has 96 divisors (see below), whose sum is σ = 699874560. Its totient is φ = 78624000.

The previous prime is 252782303. The next prime is 252782359. The reversal of 252782316 is 613287252.

252782316 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 239991 + ... + 241041.

It is an arithmetic number, because the mean of its divisors is an integer number (7290360).

Almost surely, 2252782316 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 252782316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349937280).

252782316 is an abundant number, since it is smaller than the sum of its proper divisors (447092244).

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

252782316 is a wasteful number, since it uses less digits than its factorization.

252782316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1212 (or 1204 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 252782316 is about 15899.1294101281. The cubic root of 252782316 is about 632.2889074613.

The spelling of 252782316 in words is "two hundred fifty-two million, seven hundred eighty-two thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 131 153 204 262 306 393 459 524 612 786 918 1051 1179 1572 1836 2102 2227 2358 3153 3537 4204 4454 4716 6306 6681 7074 8908 9459 12612 13362 14148 17867 18918 20043 26724 28377 35734 37836 40086 53601 56754 60129 71468 80172 107202 113508 120258 137681 160803 214404 240516 275362 321606 413043 482409 550724 643212 826086 964818 1239129 1652172 1929636 2340577 2478258 3717387 4681154 4956516 7021731 7434774 9362308 14043462 14869548 21065193 28086924 42130386 63195579 84260772 126391158 252782316