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112564248 = 23347731367
BaseRepresentation
bin1101011010110…
…01100000011000
321211210212010020
412231121200120
5212304023443
615100350440
72534531436
oct655314030
9254725106
10112564248
11585a3205
1231845420
131a422584
1410d41d56
159d37583
hex6b59818

112564248 has 64 divisors (see below), whose sum is σ = 291548160. Its totient is φ = 36193536.

The previous prime is 112564237. The next prime is 112564253. The reversal of 112564248 is 842465211.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81661 + ... + 83027.

It is an arithmetic number, because the mean of its divisors is an integer number (4555440).

Almost surely, 2112564248 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 112564248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145774080).

112564248 is an abundant number, since it is smaller than the sum of its proper divisors (178983912).

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

112564248 is a wasteful number, since it uses less digits than its factorization.

112564248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1496 (or 1492 counting only the distinct ones).

The product of its digits is 15360, while the sum is 33.

The square root of 112564248 is about 10609.6299652721. The cubic root of 112564248 is about 482.8365722395.

The spelling of 112564248 in words is "one hundred twelve million, five hundred sixty-four thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 24 47 73 94 141 146 188 219 282 292 376 438 564 584 876 1128 1367 1752 2734 3431 4101 5468 6862 8202 10293 10936 13724 16404 20586 27448 32808 41172 64249 82344 99791 128498 192747 199582 256996 299373 385494 399164 513992 598746 770988 798328 1197492 1541976 2394984 4690177 9380354 14070531 18760708 28141062 37521416 56282124 112564248