Search a number
-
+
252275472 = 2434375261
BaseRepresentation
bin11110000100101…
…10101100010000
3122120200220220000
433002112230100
51004040303342
641011050000
76152210001
oct1702265420
9576626800
10252275472
1111a448329
12705a0900
134035b337
142570d1a8
151723344c
hexf096b10

252275472 has 100 divisors (see below), whose sum is σ = 750034956. Its totient is φ = 81803520.

The previous prime is 252275459. The next prime is 252275473. The reversal of 252275472 is 274572252.

It can be written as a sum of positive squares in 2 ways, for example, as 208398096 + 43877376 = 14436^2 + 6624^2 .

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

It is not an unprimeable number, because it can be changed into a prime (252275473) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 45322 + ... + 50582.

Almost surely, 2252275472 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 252275472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375017478).

252275472 is an abundant number, since it is smaller than the sum of its proper divisors (497759484).

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

252275472 is a wasteful number, since it uses less digits than its factorization.

252275472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5318 (or 5303 counting only the distinct ones).

The product of its digits is 78400, while the sum is 36.

The square root of 252275472 is about 15883.1820489472. The cubic root of 252275472 is about 631.8660320646.

The spelling of 252275472 in words is "two hundred fifty-two million, two hundred seventy-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 37 48 54 72 74 81 108 111 144 148 162 216 222 296 324 333 432 444 592 648 666 888 999 1296 1332 1776 1998 2664 2997 3996 5261 5328 5994 7992 10522 11988 15783 15984 21044 23976 31566 42088 47349 47952 63132 84176 94698 126264 142047 189396 194657 252528 284094 378792 389314 426141 568188 583971 757584 778628 852282 1136376 1167942 1557256 1704564 1751913 2272752 2335884 3114512 3409128 3503826 4671768 5255739 6818256 7007652 9343536 10511478 14015304 15767217 21022956 28030608 31534434 42045912 63068868 84091824 126137736 252275472