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31141476 = 22332961163
BaseRepresentation
bin111011011001…
…0111001100100
32011121011002000
41312302321210
530433011401
63031245300
7525461322
oct166627144
964534060
1031141476
1116640063
12a519830
1365b4712
1441c8d12
152b02186
hex1db2e64

31141476 has 96 divisors (see below), whose sum is σ = 85411200. Its totient is φ = 9797760.

The previous prime is 31141469. The next prime is 31141489. The reversal of 31141476 is 67414113.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190971 + ... + 191133.

It is an arithmetic number, because the mean of its divisors is an integer number (889700).

Almost surely, 231141476 is an apocalyptic number.

31141476 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31141476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42705600).

31141476 is an abundant number, since it is smaller than the sum of its proper divisors (54269724).

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

31141476 is a wasteful number, since it uses less digits than its factorization.

31141476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 258 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 31141476 is about 5580.4548201737. The cubic root of 31141476 is about 314.6152217878.

Adding to 31141476 its reverse (67414113), we get a palindrome (98555589).

The spelling of 31141476 in words is "thirty-one million, one hundred forty-one thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 61 87 108 116 122 163 174 183 244 261 326 348 366 489 522 549 652 732 783 978 1044 1098 1467 1566 1647 1769 1956 2196 2934 3132 3294 3538 4401 4727 5307 5868 6588 7076 8802 9454 9943 10614 14181 15921 17604 18908 19886 21228 28362 29829 31842 39772 42543 47763 56724 59658 63684 85086 89487 95526 119316 127629 170172 178974 191052 255258 268461 288347 357948 510516 536922 576694 865041 1073844 1153388 1730082 2595123 3460164 5190246 7785369 10380492 15570738 31141476