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252040544 = 25743137191
BaseRepresentation
bin11110000010111…
…01010101100000
3122120020222121222
433001131111200
51004010244134
641002034212
76150211040
oct1701352540
9576228558
10252040544
1111a2a7878
12704a8968
13402a8422
142568b720
15171d8a2e
hexf05d560

252040544 has 96 divisors (see below), whose sum is σ = 587575296. Its totient is φ = 104186880.

The previous prime is 252040531. The next prime is 252040549. The reversal of 252040544 is 445040252.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252040549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1319489 + ... + 1319679.

It is an arithmetic number, because the mean of its divisors is an integer number (6120576).

Almost surely, 2252040544 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 252040544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293787648).

252040544 is an abundant number, since it is smaller than the sum of its proper divisors (335534752).

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

252040544 is a wasteful number, since it uses less digits than its factorization.

252040544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 26.

The square root of 252040544 is about 15875.7848309934. The cubic root of 252040544 is about 631.6698323517.

Adding to 252040544 its reverse (445040252), we get a palindrome (697080796).

The spelling of 252040544 in words is "two hundred fifty-two million, forty thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 86 112 137 172 191 224 274 301 344 382 548 602 688 764 959 1096 1204 1337 1376 1528 1918 2192 2408 2674 3056 3836 4384 4816 5348 5891 6112 7672 8213 9632 10696 11782 15344 16426 21392 23564 26167 30688 32852 41237 42784 47128 52334 57491 65704 82474 94256 104668 114982 131408 164948 183169 188512 209336 229964 262816 329896 366338 418672 459928 659792 732676 837344 919856 1125181 1319584 1465352 1839712 2250362 2930704 4500724 5861408 7876267 9001448 15752534 18002896 31505068 36005792 63010136 126020272 252040544