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31145418 = 233836949
BaseRepresentation
bin111011011001…
…1110111001010
32011121100111000
41312303313022
530433123133
63031315430
7525505653
oct166636712
964540430
1031145418
1116643017
12a51bb76
1365b6455
1441ca52a
152b03413
hex1db3dca

31145418 has 32 divisors (see below), whose sum is σ = 70056000. Its totient is φ = 10255248.

The previous prime is 31145383. The next prime is 31145423. The reversal of 31145418 is 81454113.

It is a happy number.

31145418 is a `hidden beast` number, since 3 + 114 + 541 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 31145391 and 31145400.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1008 + ... + 7956.

It is an arithmetic number, because the mean of its divisors is an integer number (2189250).

Almost surely, 231145418 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31145418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35028000).

31145418 is an abundant number, since it is smaller than the sum of its proper divisors (38910582).

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

31145418 is a wasteful number, since it uses less digits than its factorization.

31145418 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7043 (or 7037 counting only the distinct ones).

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

The square root of 31145418 is about 5580.8080060149. The cubic root of 31145418 is about 314.6284962697.

The spelling of 31145418 in words is "thirty-one million, one hundred forty-five thousand, four hundred eighteen".

Divisors: 1 2 3 6 9 18 27 54 83 166 249 498 747 1494 2241 4482 6949 13898 20847 41694 62541 125082 187623 375246 576767 1153534 1730301 3460602 5190903 10381806 15572709 31145418