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252341232 = 243111397379
BaseRepresentation
bin11110000101001…
…10101111110000
3122120211021002120
433002212233300
51004044404412
641012314240
76152602503
oct1702465760
9576737076
10252341232
1111a492780
1270612980
1340382250
142572913a
1517247b8c
hexf0a6bf0

252341232 has 160 divisors (see below), whose sum is σ = 775783680. Its totient is φ = 69672960.

The previous prime is 252341231. The next prime is 252341237. The reversal of 252341232 is 232143252.

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

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252341231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 665619 + ... + 665997.

It is an arithmetic number, because the mean of its divisors is an integer number (4848648).

Almost surely, 2252341232 is an apocalyptic number.

252341232 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 252341232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387891840).

252341232 is an abundant number, since it is smaller than the sum of its proper divisors (523442448).

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

252341232 is a wasteful number, since it uses less digits than its factorization.

252341232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 505 counting only the distinct ones).

The product of its digits is 2880, while the sum is 24.

The square root of 252341232 is about 15885.2520282179. The cubic root of 252341232 is about 631.9209295940.

Adding to 252341232 its reverse (232143252), we get a palindrome (484484484).

The spelling of 252341232 in words is "two hundred fifty-two million, three hundred forty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 97 104 132 143 156 176 194 208 264 286 291 312 379 388 429 528 572 582 624 758 776 858 1067 1137 1144 1164 1261 1516 1552 1716 2134 2274 2288 2328 2522 3032 3201 3432 3783 4169 4268 4548 4656 4927 5044 6064 6402 6864 7566 8338 8536 9096 9854 10088 12507 12804 13871 14781 15132 16676 17072 18192 19708 20176 25014 25608 27742 29562 30264 33352 36763 39416 41613 50028 51216 54197 55484 59124 60528 66704 73526 78832 83226 100056 108394 110289 110968 118248 147052 162591 166452 200112 216788 220578 221936 236496 294104 325182 332904 404393 433576 441156 477919 588208 650364 665808 808786 867152 882312 955838 1213179 1300728 1433757 1617572 1764624 1911676 2426358 2601456 2867514 3235144 3823352 4852716 5257109 5735028 6470288 7646704 9705432 10514218 11470056 15771327 19410864 21028436 22940112 31542654 42056872 63085308 84113744 126170616 252341232