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112412448 = 2534311399
BaseRepresentation
bin1101011001101…
…00011100100000
321211112010220000
412230310130200
5212234144243
615053220000
72533330041
oct654643440
9254463800
10112412448
11584aa155
1231791600
131a39b455
1410d028c8
159d075d3
hex6b34720

112412448 has 120 divisors (see below), whose sum is σ = 341510400. Its totient is φ = 36236160.

The previous prime is 112412441. The next prime is 112412453. The reversal of 112412448 is 844214211.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (112412441) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 79653 + ... + 81051.

It is an arithmetic number, because the mean of its divisors is an integer number (2845920).

Almost surely, 2112412448 is an apocalyptic number.

112412448 is a gapful number since it is divisible by the number (18) 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 112412448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170755200).

112412448 is an abundant number, since it is smaller than the sum of its proper divisors (229097952).

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

112412448 is a wasteful number, since it uses less digits than its factorization.

112412448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1452 (or 1435 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 112412448 is about 10602.4736736292. The cubic root of 112412448 is about 482.6194293925.

Adding to 112412448 its reverse (844214211), we get a palindrome (956626659).

It can be divided in two parts, 11241 and 2448, that added together give a square (13689 = 1172).

The spelling of 112412448 in words is "one hundred twelve million, four hundred twelve thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 81 93 96 108 124 144 162 186 216 248 279 288 324 372 432 496 558 648 744 837 864 992 1116 1296 1399 1488 1674 2232 2511 2592 2798 2976 3348 4197 4464 5022 5596 6696 8394 8928 10044 11192 12591 13392 16788 20088 22384 25182 26784 33576 37773 40176 43369 44768 50364 67152 75546 80352 86738 100728 113319 130107 134304 151092 173476 201456 226638 260214 302184 346952 390321 402912 453276 520428 604368 693904 780642 906552 1040856 1170963 1208736 1387808 1561284 1813104 2081712 2341926 3122568 3512889 3626208 4163424 4683852 6245136 7025778 9367704 12490272 14051556 18735408 28103112 37470816 56206224 112412448