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31423392 = 253271113109
BaseRepresentation
bin111011111011…
…1101110100000
32012010110210100
41313313232200
531021022032
63041302400
7531044250
oct167675640
965113710
1031423392
1116812950
12a634a00
136682b30
14425d960
152b5a97c
hex1df7ba0

31423392 has 288 divisors, whose sum is σ = 121080960. Its totient is φ = 7464960.

The previous prime is 31423391. The next prime is 31423421. The reversal of 31423392 is 29332413.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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 (31423391) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 288234 + ... + 288342.

It is an arithmetic number, because the mean of its divisors is an integer number (420420).

Almost surely, 231423392 is an apocalyptic number.

31423392 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31423392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60540480).

31423392 is an abundant number, since it is smaller than the sum of its proper divisors (89657568).

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

31423392 is a wasteful number, since it uses less digits than its factorization.

31423392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 145 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 31423392 is about 5605.6571425659. The cubic root of 31423392 is about 315.5617489435.

The spelling of 31423392 in words is "thirty-one million, four hundred twenty-three thousand, three hundred ninety-two".