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31143492 = 223237103227
BaseRepresentation
bin111011011001…
…1011001000100
32011121020211200
41312303121010
530433042432
63031302500
7525500232
oct166633104
964536750
1031143492
1116641626
12a51aa30
1365b5603
1441c9952
152b02a7c
hex1db3644

31143492 has 72 divisors (see below), whose sum is σ = 81996096. Its totient is φ = 9958464.

The previous prime is 31143491. The next prime is 31143493. The reversal of 31143492 is 29434113.

31143492 is a `hidden beast` number, since 31 + 143 + 492 = 666.

It is an interprime number because it is at equal distance from previous prime (31143491) and next prime (31143493).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (31143491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137083 + ... + 137309.

Almost surely, 231143492 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 31143492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40998048).

31143492 is an abundant number, since it is smaller than the sum of its proper divisors (50852604).

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

31143492 is a wasteful number, since it uses less digits than its factorization.

31143492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 372 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 31143492 is about 5580.6354476887. The cubic root of 31143492 is about 314.6220107039.

The spelling of 31143492 in words is "thirty-one million, one hundred forty-three thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 103 111 148 206 222 227 309 333 412 444 454 618 666 681 908 927 1236 1332 1362 1854 2043 2724 3708 3811 4086 7622 8172 8399 11433 15244 16798 22866 23381 25197 33596 34299 45732 46762 50394 68598 70143 75591 93524 100788 137196 140286 151182 210429 280572 302364 420858 841716 865097 1730194 2595291 3460388 5190582 7785873 10381164 15571746 31143492