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31010144 = 2511372381
BaseRepresentation
bin111011001001…
…0110101100000
32011100110220212
41312102311200
530414311034
63024353252
7524403404
oct166226540
964313825
1031010144
1116560420
12a475828
1365699c9
144193104
152ac82ce
hex1d92d60

31010144 has 48 divisors (see below), whose sum is σ = 68430096. Its totient is φ = 13708800.

The previous prime is 31010129. The next prime is 31010149. The reversal of 31010144 is 44101013.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31010149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11834 + ... + 14214.

It is an arithmetic number, because the mean of its divisors is an integer number (1425627).

Almost surely, 231010144 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 31010144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34215048).

31010144 is an abundant number, since it is smaller than the sum of its proper divisors (37419952).

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

31010144 is a wasteful number, since it uses less digits than its factorization.

31010144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2439 (or 2431 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 31010144 is about 5568.6752464118. The cubic root of 31010144 is about 314.1723261963.

Adding to 31010144 its reverse (44101013), we get a palindrome (75111157).

The spelling of 31010144 in words is "thirty-one million, ten thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 37 44 74 88 148 176 296 352 407 592 814 1184 1628 2381 3256 4762 6512 9524 13024 19048 26191 38096 52382 76192 88097 104764 176194 209528 352388 419056 704776 838112 969067 1409552 1938134 2819104 3876268 7752536 15505072 31010144