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112528338 = 231317113751
BaseRepresentation
bin1101011010100…
…00101111010010
321211202000212020
412231100233102
5212301401323
615055512310
72534321646
oct655205722
9254660766
10112528338
115857922a
1231828696
131a40c120
1410d32c26
159d2bae3
hex6b50bd2

112528338 has 64 divisors (see below), whose sum is σ = 259241472. Its totient is φ = 32256000.

The previous prime is 112528327. The next prime is 112528373. The reversal of 112528338 is 833825211.

It is a super-3 number, since 3×1125283383 (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112528299 and 112528308.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149463 + ... + 150213.

It is an arithmetic number, because the mean of its divisors is an integer number (4050648).

Almost surely, 2112528338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112528338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129620736).

112528338 is an abundant number, since it is smaller than the sum of its proper divisors (146713134).

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

112528338 is a wasteful number, since it uses less digits than its factorization.

112528338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 899.

The product of its digits is 11520, while the sum is 33.

The square root of 112528338 is about 10607.9374998159. The cubic root of 112528338 is about 482.7852222898.

The spelling of 112528338 in words is "one hundred twelve million, five hundred twenty-eight thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 113 221 226 339 442 663 678 751 1326 1469 1502 1921 2253 2938 3842 4407 4506 5763 8814 9763 11526 12767 19526 24973 25534 29289 38301 49946 58578 74919 76602 84863 149838 165971 169726 254589 331942 497913 509178 995826 1103219 1442671 2206438 2885342 3309657 4328013 6619314 8656026 18754723 37509446 56264169 112528338