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42317136 = 2432714139
BaseRepresentation
bin1010000101101…
…1010101010000
32221121221012100
42201123111100
541313122021
64111000400
71022455401
oct241332520
987557170
1042317136
1121983544
1212209100
1389c8434
1458979a8
153aad626
hex285b550

42317136 has 60 divisors (see below), whose sum is σ = 120126240. Its totient is φ = 13903680.

The previous prime is 42317089. The next prime is 42317141. The reversal of 42317136 is 63171324.

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 11 ways as a sum of consecutive naturals, for example, 8155 + ... + 12293.

It is an arithmetic number, because the mean of its divisors is an integer number (2002104).

Almost surely, 242317136 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 42317136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60063120).

42317136 is an abundant number, since it is smaller than the sum of its proper divisors (77809104).

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

42317136 is a wasteful number, since it uses less digits than its factorization.

42317136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4224 (or 4215 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 42317136 is about 6505.1622577765. The cubic root of 42317136 is about 348.4753709539.

It can be divided in two parts, 423 and 17136, that multiplied together give a triangular number (7248528 = T3807).

The spelling of 42317136 in words is "forty-two million, three hundred seventeen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 71 72 142 144 213 284 426 568 639 852 1136 1278 1704 2556 3408 4139 5112 8278 10224 12417 16556 24834 33112 37251 49668 66224 74502 99336 149004 198672 293869 298008 587738 596016 881607 1175476 1763214 2350952 2644821 3526428 4701904 5289642 7052856 10579284 14105712 21158568 42317136