Search a number
-
+
252644392 = 237211134507
BaseRepresentation
bin11110000111100…
…00110000101000
3122121101122221201
433003300300220
51004134110032
641023013544
76155304400
oct1703606050
9577348851
10252644392
1111a67a520
127073a2b4
134045a230
14257a7800
15172a78e7
hexf0f0c28

252644392 has 96 divisors (see below), whose sum is σ = 647529120. Its totient is φ = 90840960.

The previous prime is 252644363. The next prime is 252644401. The reversal of 252644392 is 293446252.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53803 + ... + 58309.

It is an arithmetic number, because the mean of its divisors is an integer number (6745095).

Almost surely, 2252644392 is an apocalyptic number.

252644392 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252644392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323764560).

252644392 is an abundant number, since it is smaller than the sum of its proper divisors (394884728).

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

252644392 is a wasteful number, since it uses less digits than its factorization.

252644392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4551 (or 4540 counting only the distinct ones).

The product of its digits is 103680, while the sum is 37.

The square root of 252644392 is about 15894.7913481115. The cubic root of 252644392 is about 632.1738892876.

The spelling of 252644392 in words is "two hundred fifty-two million, six hundred forty-four thousand, three hundred ninety-two".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 49 52 56 77 88 91 98 104 143 154 182 196 286 308 364 392 539 572 616 637 728 1001 1078 1144 1274 2002 2156 2548 4004 4312 4507 5096 7007 8008 9014 14014 18028 28028 31549 36056 49577 56056 58591 63098 99154 117182 126196 198308 220843 234364 252392 347039 396616 410137 441686 468728 644501 694078 820274 883372 1289002 1388156 1640548 1766744 2429273 2578004 2776312 2870959 3281096 4511507 4858546 5156008 5741918 9023014 9717092 11483836 18046028 19434184 22967672 31580549 36092056 63161098 126322196 252644392