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85601142 = 23211974457
BaseRepresentation
bin1010001101000…
…10101101110110
312222001222200200
411012202231312
5133403214032
612254421330
72056412004
oct506425566
9188058620
1085601142
1144357450
1224801846
1314971983
14b523a74
1577ad47c
hex51a2b76

85601142 has 48 divisors (see below), whose sum is σ = 204461712. Its totient is φ = 25666560.

The previous prime is 85601129. The next prime is 85601149. The reversal of 85601142 is 24110658.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85601149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16978 + ... + 21434.

It is an arithmetic number, because the mean of its divisors is an integer number (4259619).

Almost surely, 285601142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85601142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102230856).

85601142 is an abundant number, since it is smaller than the sum of its proper divisors (118860570).

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

85601142 is a wasteful number, since it uses less digits than its factorization.

85601142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4573 (or 4570 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 85601142 is about 9252.0885209773. The cubic root of 85601142 is about 440.7170505135.

The spelling of 85601142 in words is "eighty-five million, six hundred one thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 97 99 194 198 291 582 873 1067 1746 2134 3201 4457 6402 8914 9603 13371 19206 26742 40113 49027 80226 98054 147081 294162 432329 441243 864658 882486 1296987 2593974 3890961 4755619 7781922 9511238 14266857 28533714 42800571 85601142