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31245408 = 2532235389
BaseRepresentation
bin111011100110…
…0010001100000
32011210102122100
41313030101200
530444323113
63033410400
7526403325
oct167142140
964712570
1031245408
1116701157
12a569a00
13661cb0c
144214b4c
152b22d73
hex1dcc460

31245408 has 144 divisors (see below), whose sum is σ = 95528160. Its totient is φ = 9664512.

The previous prime is 31245377. The next prime is 31245413. The reversal of 31245408 is 80454213.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 351028 + ... + 351116.

It is an arithmetic number, because the mean of its divisors is an integer number (663390).

Almost surely, 231245408 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 31245408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47764080).

31245408 is an abundant number, since it is smaller than the sum of its proper divisors (64282752).

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

31245408 is a wasteful number, since it uses less digits than its factorization.

31245408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 31245408 is about 5589.7592076940. The cubic root of 31245408 is about 314.9648335647.

The spelling of 31245408 in words is "thirty-one million, two hundred forty-five thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 53 69 72 89 92 96 106 138 144 159 178 184 207 212 267 276 288 318 356 368 414 424 477 534 552 636 712 736 801 828 848 954 1068 1104 1219 1272 1424 1602 1656 1696 1908 2047 2136 2208 2438 2544 2848 3204 3312 3657 3816 4094 4272 4717 4876 5088 6141 6408 6624 7314 7632 8188 8544 9434 9752 10971 12282 12816 14151 14628 15264 16376 18423 18868 19504 21942 24564 25632 28302 29256 32752 36846 37736 39008 42453 43884 49128 56604 58512 65504 73692 75472 84906 87768 98256 108491 113208 117024 147384 150944 169812 175536 196512 216982 226416 294768 325473 339624 351072 433964 452832 589536 650946 679248 867928 976419 1301892 1358496 1735856 1952838 2603784 3471712 3905676 5207568 7811352 10415136 15622704 31245408