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31442496 = 263295647
BaseRepresentation
bin111011111110…
…0011001000000
32012011102222220
41313330121000
531022124441
63041531040
7531154041
oct167743100
965142886
1031442496
1116826238
12a643a80
13668b737
1442668c8
152b61466
hex1dfc640

31442496 has 56 divisors (see below), whose sum is σ = 86075520. Its totient is φ = 10117632.

The previous prime is 31442491. The next prime is 31442513. The reversal of 31442496 is 69424413.

It is not an unprimeable number, because it can be changed into a prime (31442491) 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 7 ways as a sum of consecutive naturals, for example, 2745 + ... + 8391.

Almost surely, 231442496 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 31442496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43037760).

31442496 is an abundant number, since it is smaller than the sum of its proper divisors (54633024).

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

31442496 is a wasteful number, since it uses less digits than its factorization.

31442496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5691 (or 5681 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 31442496 is about 5607.3608765622. The cubic root of 31442496 is about 315.6256850751.

The spelling of 31442496 in words is "thirty-one million, four hundred forty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 174 192 232 348 464 696 928 1392 1856 2784 5568 5647 11294 16941 22588 33882 45176 67764 90352 135528 163763 180704 271056 327526 361408 491289 542112 655052 982578 1084224 1310104 1965156 2620208 3930312 5240416 7860624 10480832 15721248 31442496