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31979142 = 23213178039
BaseRepresentation
bin111100111111…
…1011010000110
32020011201010200
41321333122012
531141313032
63101231330
7535550436
oct171773206
966151120
1031979142
1117062448
12a862546
136818a90
1443662c6
152c1a47c
hex1e7f686

31979142 has 48 divisors (see below), whose sum is σ = 79017120. Its totient is φ = 9259776.

The previous prime is 31979119. The next prime is 31979161. The reversal of 31979142 is 24197913.

It is a junction number, because it is equal to n+sod(n) for n = 31979097 and 31979106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42 + ... + 7997.

It is an arithmetic number, because the mean of its divisors is an integer number (1646190).

Almost surely, 231979142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31979142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39508560).

31979142 is an abundant number, since it is smaller than the sum of its proper divisors (47037978).

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

31979142 is a wasteful number, since it uses less digits than its factorization.

31979142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8077 (or 8074 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 31979142 is about 5655.0103448181. The cubic root of 31979142 is about 317.4112162112.

The spelling of 31979142 in words is "thirty-one million, nine hundred seventy-nine thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 51 78 102 117 153 221 234 306 442 663 1326 1989 3978 8039 16078 24117 48234 72351 104507 136663 144702 209014 273326 313521 409989 627042 819978 940563 1229967 1776619 1881126 2459934 3553238 5329857 10659714 15989571 31979142