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42366072 = 2337421599
BaseRepresentation
bin1010000110011…
…1010001111000
32221201102022210
42201213101320
541321203242
64112015120
71023051150
oct241472170
987642283
1042366072
1121a07291
12122314a0
138a147a8
1458ab760
153abcd9c
hex2867478

42366072 has 64 divisors (see below), whose sum is σ = 121536000. Its totient is φ = 12055680.

The previous prime is 42366059. The next prime is 42366083. The reversal of 42366072 is 27066324.

It is a congruent number.

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, 70429 + ... + 71027.

It is an arithmetic number, because the mean of its divisors is an integer number (1899000).

Almost surely, 242366072 is an apocalyptic number.

42366072 is a gapful number since it is divisible by the number (42) 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 42366072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60768000).

42366072 is an abundant number, since it is smaller than the sum of its proper divisors (79169928).

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

42366072 is a wasteful number, since it uses less digits than its factorization.

42366072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1036 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 42366072 is about 6508.9224914728. The cubic root of 42366072 is about 348.6096461213.

The spelling of 42366072 in words is "forty-two million, three hundred sixty-six thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 421 599 842 1198 1263 1684 1797 2396 2526 2947 3368 3594 4193 4792 5052 5894 7188 8386 8841 10104 11788 12579 14376 16772 17682 23576 25158 33544 35364 50316 70728 100632 252179 504358 756537 1008716 1513074 1765253 2017432 3026148 3530506 5295759 6052296 7061012 10591518 14122024 21183036 42366072