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42386136 = 23313731861
BaseRepresentation
bin1010000110110…
…0001011011000
32221202102211220
42201230023120
541322324021
64112252040
71023163512
oct241541330
987672756
1042386136
1121a20371
1212241020
138a20970
1458b4bb2
153ac3cc6
hex286c2d8

42386136 has 64 divisors (see below), whose sum is σ = 115741920. Its totient is φ = 12856320.

The previous prime is 42386129. The next prime is 42386159. The reversal of 42386136 is 63168324.

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

It is a junction number, because it is equal to n+sod(n) for n = 42386097 and 42386106.

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 15 ways as a sum of consecutive naturals, for example, 21846 + ... + 23706.

Almost surely, 242386136 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 42386136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57870960).

42386136 is an abundant number, since it is smaller than the sum of its proper divisors (73355784).

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

42386136 is a wasteful number, since it uses less digits than its factorization.

42386136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1956 (or 1952 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 42386136 is about 6510.4635779643. The cubic root of 42386136 is about 348.6646697108.

The spelling of 42386136 in words is "forty-two million, three hundred eighty-six thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 73 78 104 146 156 219 292 312 438 584 876 949 1752 1861 1898 2847 3722 3796 5583 5694 7444 7592 11166 11388 14888 22332 22776 24193 44664 48386 72579 96772 135853 145158 193544 271706 290316 407559 543412 580632 815118 1086824 1630236 1766089 3260472 3532178 5298267 7064356 10596534 14128712 21193068 42386136