Search a number
-
+
31028058 = 23223149503
BaseRepresentation
bin111011001011…
…1001101011010
32011101101111100
41312113031122
530420344213
63025012230
7524506545
oct166271532
964341440
1031028058
1116572926
12a484076
136574bc9
14419985c
152acd773
hex1d9735a

31028058 has 48 divisors (see below), whose sum is σ = 70761600. Its totient is φ = 9807072.

The previous prime is 31028051. The next prime is 31028059. The reversal of 31028058 is 85082013.

It is a happy number.

It is a super-3 number, since 3×310280583 (a number of 23 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (31028051) 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, 61435 + ... + 61937.

It is an arithmetic number, because the mean of its divisors is an integer number (1474200).

Almost surely, 231028058 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31028058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35380800).

31028058 is an abundant number, since it is smaller than the sum of its proper divisors (39733542).

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

31028058 is a wasteful number, since it uses less digits than its factorization.

31028058 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 680 counting only the distinct ones).

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

The square root of 31028058 is about 5570.2834757308. The cubic root of 31028058 is about 314.2328117765.

The spelling of 31028058 in words is "thirty-one million, twenty-eight thousand, fifty-eight".

Divisors: 1 2 3 6 9 18 23 46 69 138 149 207 298 414 447 503 894 1006 1341 1509 2682 3018 3427 4527 6854 9054 10281 11569 20562 23138 30843 34707 61686 69414 74947 104121 149894 208242 224841 449682 674523 1349046 1723781 3447562 5171343 10342686 15514029 31028058