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42362136 = 2333238527
BaseRepresentation
bin1010000110011…
…0010100011000
32221201012221000
42201212110120
541321042021
64111545000
71023033525
oct241462430
987635830
1042362136
1121a04333
121222b160
138a12a6b
1458aa14c
153abbb26
hex2866518

42362136 has 64 divisors (see below), whose sum is σ = 122803200. Its totient is φ = 13505184.

The previous prime is 42362129. The next prime is 42362137. The reversal of 42362136 is 63126324.

42362136 is a `hidden beast` number, since 4 + 2 + 3 + 621 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42362137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 705 + ... + 9231.

It is an arithmetic number, because the mean of its divisors is an integer number (1918800).

Almost surely, 242362136 is an apocalyptic number.

42362136 is a gapful number since it is divisible by the number (46) 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 42362136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61401600).

42362136 is an abundant number, since it is smaller than the sum of its proper divisors (80441064).

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

42362136 is a wasteful number, since it uses less digits than its factorization.

42362136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8565 (or 8555 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 42362136 is about 6508.6201302580. The cubic root of 42362136 is about 348.5988499818.

The spelling of 42362136 in words is "forty-two million, three hundred sixty-two thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 184 207 216 276 414 552 621 828 1242 1656 2484 4968 8527 17054 25581 34108 51162 68216 76743 102324 153486 196121 204648 230229 306972 392242 460458 588363 613944 784484 920916 1176726 1568968 1765089 1841832 2353452 3530178 4706904 5295267 7060356 10590534 14120712 21181068 42362136