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31280096 = 252937911
BaseRepresentation
bin111011101010…
…0101111100000
32011212012020002
41313110233200
531001430341
63034235132
7526606421
oct167245740
964765202
1031280096
1116725221
12a585aa8
136632843
144223648
152b2d29b
hex1dd4be0

31280096 has 48 divisors (see below), whose sum is σ = 65499840. Its totient is φ = 14676480.

The previous prime is 31280087. The next prime is 31280101. The reversal of 31280096 is 69008213.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a pancake number, because a pancake can be divided into 31280096 parts by 7909 straight cuts.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33881 + ... + 34791.

It is an arithmetic number, because the mean of its divisors is an integer number (1364580).

Almost surely, 231280096 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 31280096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32749920).

31280096 is an abundant number, since it is smaller than the sum of its proper divisors (34219744).

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

31280096 is a wasteful number, since it uses less digits than its factorization.

31280096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 31280096 is about 5592.8611640197. The cubic root of 31280096 is about 315.0813462541.

It can be divided in two parts, 312 and 80096, that added together give a palindrome (80408).

The spelling of 31280096 in words is "thirty-one million, two hundred eighty thousand, ninety-six".

Divisors: 1 2 4 8 16 29 32 37 58 74 116 148 232 296 464 592 911 928 1073 1184 1822 2146 3644 4292 7288 8584 14576 17168 26419 29152 33707 34336 52838 67414 105676 134828 211352 269656 422704 539312 845408 977503 1078624 1955006 3910012 7820024 15640048 31280096