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112444464 = 243111731231
BaseRepresentation
bin1101011001111…
…00010000110000
321211120202210210
412230330100300
5212241210324
615054024120
72533522266
oct654742060
9254522723
10112444464
1158521210
12317a8040
131a3acbb2
1410d10436
159d11d29
hex6b3c430

112444464 has 80 divisors (see below), whose sum is σ = 318979584. Its totient is φ = 33849600.

The previous prime is 112444457. The next prime is 112444483. The reversal of 112444464 is 464444211.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90729 + ... + 91959.

Almost surely, 2112444464 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 112444464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159489792).

112444464 is an abundant number, since it is smaller than the sum of its proper divisors (206535120).

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

112444464 is a wasteful number, since it uses less digits than its factorization.

112444464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1426 (or 1420 counting only the distinct ones).

The product of its digits is 12288, while the sum is 30.

The square root of 112444464 is about 10603.9834024766. The cubic root of 112444464 is about 482.6652430524.

Adding to 112444464 its reverse (464444211), we get a palindrome (576888675).

The spelling of 112444464 in words is "one hundred twelve million, four hundred forty-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 173 176 264 346 519 528 692 1038 1231 1384 1903 2076 2462 2768 3693 3806 4152 4924 5709 7386 7612 8304 9848 11418 13541 14772 15224 19696 22836 27082 29544 30448 40623 45672 54164 59088 81246 91344 108328 162492 212963 216656 324984 425926 638889 649968 851852 1277778 1703704 2342593 2555556 3407408 4685186 5111112 7027779 9370372 10222224 14055558 18740744 28111116 37481488 56222232 112444464