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31031442 = 2321321012
BaseRepresentation
bin111011001100…
…0000010010010
32011101120010200
41312120002102
530421001232
63025040030
7524522451
oct166300222
964346120
1031031442
1116575422
12a486016
136576600
14419ab98
152ace77c
hex1d98092

31031442 has 54 divisors (see below), whose sum is σ = 73532511. Its totient is φ = 9453600.

The previous prime is 31031431. The next prime is 31031449. The reversal of 31031442 is 24413013.

31031442 is a `hidden beast` number, since 310 + 314 + 42 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 21427641 + 9603801 = 4629^2 + 3099^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=3939.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (31031449) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 307192 + ... + 307292.

Almost surely, 231031442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31031442

31031442 is an abundant number, since it is smaller than the sum of its proper divisors (42501069).

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

31031442 is a wasteful number, since it uses less digits than its factorization.

31031442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 31031442 is about 5570.5872221876. The cubic root of 31031442 is about 314.2442350414.

Multiplying 31031442 by its sum of digits (18), we get a square (558565956 = 236342).

31031442 divided by its sum of digits (18) gives a square (1723969 = 13132).

Multiplying 31031442 by its product of nonzero digits (288), we get a square (8937055296 = 945362).

Adding to 31031442 its reverse (24413013), we get a palindrome (55444455).

The spelling of 31031442 in words is "thirty-one million, thirty-one thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 101 117 169 202 234 303 338 507 606 909 1014 1313 1521 1818 2626 3042 3939 7878 10201 11817 17069 20402 23634 30603 34138 51207 61206 91809 102414 132613 153621 183618 265226 307242 397839 795678 1193517 1723969 2387034 3447938 5171907 10343814 15515721 31031442