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61496112 = 24323531051
BaseRepresentation
bin1110101010010…
…1101100110000
311021201022210210
43222211230300
5111220333422
610034024120
71344464646
oct352455460
9137638723
1061496112
1131792a37
1218718040
13c981c42
14824b196
1555eb10c
hex3aa5b30

61496112 has 80 divisors (see below), whose sum is σ = 169060608. Its totient is φ = 19219200.

The previous prime is 61496107. The next prime is 61496119. The reversal of 61496112 is 21169416.

It is a happy number.

61496112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×614961122 = 7563543582233088, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 61496112.

It is not an unprimeable number, because it can be changed into a prime (61496119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57987 + ... + 59037.

Almost surely, 261496112 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 61496112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84530304).

61496112 is an abundant number, since it is smaller than the sum of its proper divisors (107564496).

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

61496112 is a wasteful number, since it uses less digits than its factorization.

61496112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1132 counting only the distinct ones).

The product of its digits is 2592, while the sum is 30.

The square root of 61496112 is about 7841.9456769350. The cubic root of 61496112 is about 394.7140204219.

The spelling of 61496112 in words is "sixty-one million, four hundred ninety-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 53 69 92 106 138 159 184 212 276 318 368 424 552 636 848 1051 1104 1219 1272 2102 2438 2544 3153 3657 4204 4876 6306 7314 8408 9752 12612 14628 16816 19504 24173 25224 29256 48346 50448 55703 58512 72519 96692 111406 145038 167109 193384 222812 290076 334218 386768 445624 580152 668436 891248 1160304 1281169 1336872 2562338 2673744 3843507 5124676 7687014 10249352 15374028 20498704 30748056 61496112