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31058328 = 2337199929
BaseRepresentation
bin111011001111…
…0100110011000
32011102221000110
41312132212120
530422331303
63025404320
7524664030
oct166364630
964387013
1031058328
1116593644
12a4996a0
136585912
1441a68c0
152ad7703
hex1d9e998

31058328 has 64 divisors (see below), whose sum is σ = 89280000. Its totient is φ = 8819712.

The previous prime is 31058327. The next prime is 31058347. The reversal of 31058328 is 82385013.

It is a happy number.

It is a Cunningham number, because it is equal to 55732-1.

It is a junction number, because it is equal to n+sod(n) for n = 31058295 and 31058304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31058323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32968 + ... + 33896.

It is an arithmetic number, because the mean of its divisors is an integer number (1395000).

Almost surely, 231058328 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 31058328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44640000).

31058328 is an abundant number, since it is smaller than the sum of its proper divisors (58221672).

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

31058328 is a wasteful number, since it uses less digits than its factorization.

31058328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 31058328 is about 5572.9999102817. Note that the first 4 decimals coincide. The cubic root of 31058328 is about 314.3349637893.

The spelling of 31058328 in words is "thirty-one million, fifty-eight thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 199 398 597 796 929 1194 1393 1592 1858 2388 2786 2787 3716 4179 4776 5572 5574 6503 7432 8358 11144 11148 13006 16716 19509 22296 26012 33432 39018 52024 78036 156072 184871 369742 554613 739484 1109226 1294097 1478968 2218452 2588194 3882291 4436904 5176388 7764582 10352776 15529164 31058328