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42611316 = 223111721117
BaseRepresentation
bin1010001010001…
…1001001110100
32222011212201220
42202203021310
541402030231
64121150340
71025122146
oct242431164
988155656
1042611316
1122064570
121232b3b0
138a9c2c7
145932c96
153b1a896
hex28a3274

42611316 has 72 divisors (see below), whose sum is σ = 115323936. Its totient is φ = 12142080.

The previous prime is 42611251. The next prime is 42611321. The reversal of 42611316 is 61311624.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37590 + ... + 38706.

Almost surely, 242611316 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 42611316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57661968).

42611316 is an abundant number, since it is smaller than the sum of its proper divisors (72712620).

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

42611316 is a wasteful number, since it uses less digits than its factorization.

42611316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169 (or 1150 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 42611316 is about 6527.7343695956. The cubic root of 42611316 is about 349.2810165650.

The spelling of 42611316 in words is "forty-two million, six hundred eleven thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 289 374 561 578 748 867 1117 1122 1156 1734 2234 2244 3179 3351 3468 4468 6358 6702 9537 12287 12716 13404 18989 19074 24574 36861 37978 38148 49148 56967 73722 75956 113934 147444 208879 227868 322813 417758 626637 645626 835516 968439 1253274 1291252 1936878 2506548 3550943 3873756 7101886 10652829 14203772 21305658 42611316