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31325424 = 24313172953
BaseRepresentation
bin111011101111…
…1110011110000
32011221111101220
41313133303300
531004403144
63035225040
7530155524
oct167376360
964844356
1031325424
1116756289
12a5a8180
13664a370
144235d84
152b3b919
hex1ddfcf0

31325424 has 80 divisors (see below), whose sum is σ = 92306592. Its totient is φ = 9068544.

The previous prime is 31325389. The next prime is 31325429. The reversal of 31325424 is 42452313.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 31325394 and 31325403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31325429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9132 + ... + 12084.

Almost surely, 231325424 is an apocalyptic number.

31325424 is a gapful number since it is divisible by the number (34) 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 31325424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46153296).

31325424 is an abundant number, since it is smaller than the sum of its proper divisors (60981168).

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

31325424 is a wasteful number, since it uses less digits than its factorization.

31325424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2994 (or 2988 counting only the distinct ones).

The product of its digits is 2880, while the sum is 24.

The square root of 31325424 is about 5596.9120057403. The cubic root of 31325424 is about 315.2334676343.

Adding to 31325424 its reverse (42452313), we get a palindrome (73777737).

The spelling of 31325424 in words is "thirty-one million, three hundred twenty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 34 39 48 51 52 68 78 102 104 136 156 204 208 221 272 312 408 442 624 663 816 884 1326 1768 2652 2953 3536 5304 5906 8859 10608 11812 17718 23624 35436 38389 47248 50201 70872 76778 100402 115167 141744 150603 153556 200804 230334 301206 307112 401608 460668 602412 614224 652613 803216 921336 1204824 1305226 1842672 1957839 2409648 2610452 3915678 5220904 7831356 10441808 15662712 31325424