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85607742 = 23112117917
BaseRepresentation
bin1010001101001…
…00010100111110
312222002022202010
411012210110332
5133403421432
612254512050
72056440153
oct506442476
9188068663
1085607742
1144361400
1224805626
131497498c
14b52622a
1577b03cc
hex51a453e

85607742 has 24 divisors (see below), whose sum is σ = 188197128. Its totient is φ = 25941520.

The previous prime is 85607663. The next prime is 85607747. The reversal of 85607742 is 24770658.

It is a self number, because there is not a number n which added to its sum of digits gives 85607742.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85607747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58233 + ... + 59684.

It is an arithmetic number, because the mean of its divisors is an integer number (7841547).

Almost surely, 285607742 is an apocalyptic number.

85607742 is an abundant number, since it is smaller than the sum of its proper divisors (102589386).

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

85607742 is a wasteful number, since it uses less digits than its factorization.

85607742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117944 (or 117933 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 85607742 is about 9252.4451903267. The cubic root of 85607742 is about 440.7283769113.

The spelling of 85607742 in words is "eighty-five million, six hundred seven thousand, seven hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 726 117917 235834 353751 707502 1297087 2594174 3891261 7782522 14267957 28535914 42803871 85607742