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31268848 = 24131737239
BaseRepresentation
bin111011101000…
…1111111110000
32011211121210111
41313101333300
531001100343
63034111104
7526531552
oct167217760
964747714
1031268848
1116717826
12a57b494
13662a6a0
14421d4d2
152b29c9d
hex1dd1ff0

31268848 has 80 divisors (see below), whose sum is σ = 71245440. Its totient is φ = 13160448.

The previous prime is 31268821. The next prime is 31268921. The reversal of 31268848 is 84886213.

It is a self number, because there is not a number n which added to its sum of digits gives 31268848.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130713 + ... + 130951.

It is an arithmetic number, because the mean of its divisors is an integer number (890568).

It is a vampire number, since it can be written as 38488126 (with its own digits).

Almost surely, 231268848 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 31268848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35622720).

31268848 is an abundant number, since it is smaller than the sum of its proper divisors (39976592).

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

31268848 is a wasteful number, since it uses less digits than its factorization.

31268848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 308 counting only the distinct ones).

The product of its digits is 73728, while the sum is 40.

The square root of 31268848 is about 5591.8555060016. The cubic root of 31268848 is about 315.0435750586.

The spelling of 31268848 in words is "thirty-one million, two hundred sixty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 13 16 17 26 34 37 52 68 74 104 136 148 208 221 239 272 296 442 478 481 592 629 884 956 962 1258 1768 1912 1924 2516 3107 3536 3824 3848 4063 5032 6214 7696 8126 8177 8843 10064 12428 16252 16354 17686 24856 32504 32708 35372 49712 52819 65008 65416 70744 105638 114959 130832 141488 150331 211276 229918 300662 422552 459836 601324 845104 919672 1202648 1839344 1954303 2405296 3908606 7817212 15634424 31268848