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252250152 = 233711212409
BaseRepresentation
bin11110000100100…
…00100000101000
3122120122122011020
433002100200220
51004034001102
641010332440
76152043120
oct1702204050
9576578136
10252250152
1111a430300
127058a120
134034c95b
1425703c80
151722abbc
hexf090828

252250152 has 96 divisors (see below), whose sum is σ = 792254400. Its totient is φ = 65514240.

The previous prime is 252250139. The next prime is 252250157. The reversal of 252250152 is 251052252.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (252250157) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14124 + ... + 26532.

It is an arithmetic number, because the mean of its divisors is an integer number (8252650).

Almost surely, 2252250152 is an apocalyptic number.

252250152 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 252250152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396127200).

252250152 is an abundant number, since it is smaller than the sum of its proper divisors (540004248).

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

252250152 is a wasteful number, since it uses less digits than its factorization.

252250152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12447 (or 12432 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The square root of 252250152 is about 15882.3849594449. The cubic root of 252250152 is about 631.8448919684.

The spelling of 252250152 in words is "two hundred fifty-two million, two hundred fifty thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 121 132 154 168 231 242 264 308 363 462 484 616 726 847 924 968 1452 1694 1848 2541 2904 3388 5082 6776 10164 12409 20328 24818 37227 49636 74454 86863 99272 136499 148908 173726 260589 272998 297816 347452 409497 521178 545996 694904 818994 955493 1042356 1091992 1501489 1637988 1910986 2084712 2866479 3002978 3275976 3821972 4504467 5732958 6005956 7643944 9008934 10510423 11465916 12011912 18017868 21020846 22931832 31531269 36035736 42041692 63062538 84083384 126125076 252250152