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112408452 = 22331323592
BaseRepresentation
bin1101011001100…
…11011110000100
321211111221102000
412230303132010
5212234032302
615053145300
72533312302
oct654633604
9254457360
10112408452
11584a7152
123178b230
131a3996a0
1410d01272
159d0631c
hex6b33784

112408452 has 144 divisors (see below), whose sum is σ = 333137280. Its totient is φ = 32522688.

The previous prime is 112408441. The next prime is 112408453. The reversal of 112408452 is 254804211.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (112408453) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1905199 + ... + 1905257.

Almost surely, 2112408452 is an apocalyptic number.

112408452 is a gapful number since it is divisible by the number (12) 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 112408452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166568640).

112408452 is an abundant number, since it is smaller than the sum of its proper divisors (220728828).

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

112408452 is a wasteful number, since it uses less digits than its factorization.

112408452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 112408452 is about 10602.2852253653. The cubic root of 112408452 is about 482.6137106602.

The spelling of 112408452 in words is "one hundred twelve million, four hundred eight thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 27 36 39 46 52 54 59 69 78 92 108 117 118 138 156 177 207 234 236 276 299 351 354 414 468 531 598 621 702 708 767 828 897 1062 1196 1242 1357 1404 1534 1593 1794 2124 2301 2484 2691 2714 3068 3186 3481 3588 4071 4602 5382 5428 6372 6903 6962 8073 8142 9204 10443 10764 12213 13806 13924 16146 16284 17641 20709 20886 24426 27612 31329 32292 35282 36639 41418 41772 45253 48852 52923 62658 70564 73278 80063 82836 90506 93987 105846 125316 135759 146556 158769 160126 181012 187974 211692 240189 271518 317538 320252 375948 407277 476307 480378 543036 635076 720567 814554 952614 960756 1040819 1221831 1441134 1629108 1905228 2081638 2161701 2443662 2882268 3122457 4163276 4323402 4887324 6244914 8646804 9367371 12489828 18734742 28102113 37469484 56204226 112408452