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252060432 = 24313676029
BaseRepresentation
bin11110000011000…
…10001100010000
3122120021222220120
433001202030100
51004011413212
641002310240
76150323031
oct1701421420
9576258816
10252060432
1111a310808
12704b8380
13402b44b0
1425694a88
15171de88c
hexf062310

252060432 has 80 divisors (see below), whose sum is σ = 711829440. Its totient is φ = 76386816.

The previous prime is 252060379. The next prime is 252060433. The reversal of 252060432 is 234060252.

It is a super-2 number, since 2×2520604322 = 127068922760053248, which contains 22 as substring.

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 (252060433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38794 + ... + 44822.

It is an arithmetic number, because the mean of its divisors is an integer number (8897868).

Almost surely, 2252060432 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 252060432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355914720).

252060432 is an abundant number, since it is smaller than the sum of its proper divisors (459769008).

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

252060432 is a wasteful number, since it uses less digits than its factorization.

252060432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6120 (or 6114 counting only the distinct ones).

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

The square root of 252060432 is about 15876.4111813722. The cubic root of 252060432 is about 631.6864465030.

The spelling of 252060432 in words is "two hundred fifty-two million, sixty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 67 78 104 134 156 201 208 268 312 402 536 624 804 871 1072 1608 1742 2613 3216 3484 5226 6029 6968 10452 12058 13936 18087 20904 24116 36174 41808 48232 72348 78377 96464 144696 156754 235131 289392 313508 403943 470262 627016 807886 940524 1211829 1254032 1615772 1881048 2423658 3231544 3762096 4847316 5251259 6463088 9694632 10502518 15753777 19389264 21005036 31507554 42010072 63015108 84020144 126030216 252060432