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112826368 = 21189619
BaseRepresentation
bin1101011100110…
…01100000000000
321212022011200101
412232121200000
5212340420433
615110132144
72540002564
oct656314000
9255264611
10112826368
1158762136
1231951054
131a4b4985
1410dad6a4
159d8a07d
hex6b99800

112826368 has 48 divisors (see below), whose sum is σ = 228501000. Its totient is φ = 55689216.

The previous prime is 112826359. The next prime is 112826407. The reversal of 112826368 is 863628211.

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 3 ways as a sum of consecutive naturals, for example, 181963 + ... + 182581.

Almost surely, 2112826368 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 112826368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114250500).

112826368 is an abundant number, since it is smaller than the sum of its proper divisors (115674632).

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

112826368 is an frugal number, since it uses more digits than its factorization.

112826368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 710 counting only the distinct ones).

The product of its digits is 27648, while the sum is 37.

The square root of 112826368 is about 10621.9757107612. The cubic root of 112826368 is about 483.2110635889.

The spelling of 112826368 in words is "one hundred twelve million, eight hundred twenty-six thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 89 128 178 256 356 512 619 712 1024 1238 1424 2048 2476 2848 4952 5696 9904 11392 19808 22784 39616 45568 55091 79232 91136 110182 158464 182272 220364 316928 440728 633856 881456 1267712 1762912 3525824 7051648 14103296 28206592 56413184 112826368