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112938948 = 2234379421
BaseRepresentation
bin1101011101101…
…00111111000100
321212111220010000
412232310333010
5212403021243
615112401300
72540652033
oct656647704
9255456100
10112938948
1158829781
12319a6230
131a523ca5
1410ddc71a
159dad5d3
hex6bb4fc4

112938948 has 60 divisors (see below), whose sum is σ = 303256492. Its totient is φ = 36624960.

The previous prime is 112938937. The next prime is 112938949. The reversal of 112938948 is 849839211.

It can be written as a sum of positive squares in 2 ways, for example, as 71876484 + 41062464 = 8478^2 + 6408^2 .

It is not an unprimeable number, because it can be changed into a prime (112938949) 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, 7278 + ... + 16698.

Almost surely, 2112938948 is an apocalyptic number.

112938948 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 112938948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151628246).

112938948 is an abundant number, since it is smaller than the sum of its proper divisors (190317544).

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

112938948 is a wasteful number, since it uses less digits than its factorization.

112938948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9474 (or 9463 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 112938948 is about 10627.2737802317. The cubic root of 112938948 is about 483.3717288034.

The spelling of 112938948 in words is "one hundred twelve million, nine hundred thirty-eight thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 162 222 324 333 444 666 999 1332 1998 2997 3996 5994 9421 11988 18842 28263 37684 56526 84789 113052 169578 254367 339156 348577 508734 697154 763101 1017468 1045731 1394308 1526202 2091462 3052404 3137193 4182924 6274386 9411579 12548772 18823158 28234737 37646316 56469474 112938948