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31129692 = 223111132087
BaseRepresentation
bin111011011000…
…0000001011100
32011120112220120
41312300001130
530432122232
63031114540
7525412056
oct166600134
964515816
1031129692
1116632220
12a512a50
1365ac249
1441c48d6
152aed92c
hex1db005c

31129692 has 48 divisors (see below), whose sum is σ = 79978752. Its totient is φ = 9345280.

The previous prime is 31129667. The next prime is 31129699. The reversal of 31129692 is 29692113.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31129699) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13873 + ... + 15959.

It is an arithmetic number, because the mean of its divisors is an integer number (1666224).

Almost surely, 231129692 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 31129692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39989376).

31129692 is an abundant number, since it is smaller than the sum of its proper divisors (48849060).

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

31129692 is a wasteful number, since it uses less digits than its factorization.

31129692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2218 (or 2216 counting only the distinct ones).

The product of its digits is 5832, while the sum is 33.

The square root of 31129692 is about 5579.3988923539. The cubic root of 31129692 is about 314.5755330941.

It can be divided in two parts, 311 and 29692, that added together give a palindrome (30003).

The spelling of 31129692 in words is "thirty-one million, one hundred twenty-nine thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 113 132 226 339 452 678 1243 1356 2087 2486 3729 4174 4972 6261 7458 8348 12522 14916 22957 25044 45914 68871 91828 137742 235831 275484 471662 707493 943324 1414986 2594141 2829972 5188282 7782423 10376564 15564846 31129692