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3868248 = 2331719499
BaseRepresentation
bin1110110000011001011000
321021112020110
432300121120
51442240443
6214524320
744610456
oct16603130
97245213
103868248
1122022aa
1213666a0
13a55907
147299d6
15516233
hex3b0658

3868248 has 64 divisors (see below), whose sum is σ = 10800000. Its totient is φ = 1147392.

The previous prime is 3868247. The next prime is 3868253. The reversal of 3868248 is 8428683.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3868243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7503 + ... + 8001.

It is an arithmetic number, because the mean of its divisors is an integer number (168750).

Almost surely, 23868248 is an apocalyptic number.

3868248 is a gapful number since it is divisible by the number (38) 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 3868248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5400000).

3868248 is an abundant number, since it is smaller than the sum of its proper divisors (6931752).

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

3868248 is a wasteful number, since it uses less digits than its factorization.

3868248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 540 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The square root of 3868248 is about 1966.7862110560. The cubic root of 3868248 is about 156.9777511848.

It can be divided in two parts, 38 and 68248, that added together give a palindrome (68286).

The spelling of 3868248 in words is "three million, eight hundred sixty-eight thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 17 19 24 34 38 51 57 68 76 102 114 136 152 204 228 323 408 456 499 646 969 998 1292 1497 1938 1996 2584 2994 3876 3992 5988 7752 8483 9481 11976 16966 18962 25449 28443 33932 37924 50898 56886 67864 75848 101796 113772 161177 203592 227544 322354 483531 644708 967062 1289416 1934124 3868248