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42317088 = 2531123643
BaseRepresentation
bin1010000101101…
…1010100100000
32221121221010120
42201123110200
541313121323
64111000240
71022455302
oct241332440
987557116
1042317088
1121983500
1212209080
1389c83c8
145897972
153aad5e3
hex285b520

42317088 has 72 divisors (see below), whose sum is σ = 122132304. Its totient is φ = 12819840.

The previous prime is 42317087. The next prime is 42317089. The reversal of 42317088 is 88071324.

It is an interprime number because it is at equal distance from previous prime (42317087) and next prime (42317089).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (42317087) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9795 + ... + 13437.

It is an arithmetic number, because the mean of its divisors is an integer number (1696282).

Almost surely, 242317088 is an apocalyptic number.

42317088 is a gapful number since it is divisible by the number (48) 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 42317088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61066152).

42317088 is an abundant number, since it is smaller than the sum of its proper divisors (79815216).

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

42317088 is a wasteful number, since it uses less digits than its factorization.

42317088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3678 (or 3659 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 42317088 is about 6505.1585683979. The cubic root of 42317088 is about 348.4752391963.

The spelling of 42317088 in words is "forty-two million, three hundred seventeen thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 121 132 176 242 264 352 363 484 528 726 968 1056 1452 1936 2904 3643 3872 5808 7286 10929 11616 14572 21858 29144 40073 43716 58288 80146 87432 116576 120219 160292 174864 240438 320584 349728 440803 480876 641168 881606 961752 1282336 1322409 1763212 1923504 2644818 3526424 3847008 5289636 7052848 10579272 14105696 21158544 42317088