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31328248 = 2375233
BaseRepresentation
bin111011110000…
…0011111111000
32011221122021111
41313200133320
531010000443
63035250104
7530200000
oct167403770
964848244
1031328248
1116758416
12a5a9934
13664b733
144237000
152b3c69d
hex1de07f8

31328248 has 48 divisors (see below), whose sum is σ = 68824080. Its totient is φ = 13368768.

The previous prime is 31328243. The next prime is 31328249. The reversal of 31328248 is 84282313.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31328243) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 134340 + ... + 134572.

It is an arithmetic number, because the mean of its divisors is an integer number (1433835).

Almost surely, 231328248 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 31328248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34412040).

31328248 is an abundant number, since it is smaller than the sum of its proper divisors (37495832).

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

31328248 is an frugal number, since it uses more digits than its factorization.

31328248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 242 counting only the distinct ones).

The product of its digits is 9216, while the sum is 31.

The square root of 31328248 is about 5597.1642820271. The cubic root of 31328248 is about 315.2429401590.

It can be divided in two parts, 313 and 28248, that added together give a 4-th power (28561 = 134).

The spelling of 31328248 in words is "thirty-one million, three hundred twenty-eight thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 233 343 392 466 686 932 1372 1631 1864 2401 2744 3262 4802 6524 9604 11417 13048 16807 19208 22834 33614 45668 67228 79919 91336 134456 159838 319676 559433 639352 1118866 2237732 3916031 4475464 7832062 15664124 31328248