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3998752 = 252931139
BaseRepresentation
bin1111010000010000100000
321112011020221
433100100200
52010430002
6221412424
745663112
oct17202040
97464227
103998752
11229135a
12140a114
13aa0134
147613b2
1553ec37
hex3d0420

3998752 has 48 divisors (see below), whose sum is σ = 8467200. Its totient is φ = 1854720.

The previous prime is 3998749. The next prime is 3998773. The reversal of 3998752 is 2578993.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3998699 and 3998708.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28699 + ... + 28837.

It is an arithmetic number, because the mean of its divisors is an integer number (176400).

Almost surely, 23998752 is an apocalyptic number.

3998752 is a gapful number since it is divisible by the number (32) 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 3998752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4233600).

3998752 is an abundant number, since it is smaller than the sum of its proper divisors (4468448).

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

3998752 is a wasteful number, since it uses less digits than its factorization.

3998752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 201 counting only the distinct ones).

The product of its digits is 136080, while the sum is 43.

The square root of 3998752 is about 1999.6879756602. The cubic root of 3998752 is about 158.7235945086.

The spelling of 3998752 in words is "three million, nine hundred ninety-eight thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 29 31 32 58 62 116 124 139 232 248 278 464 496 556 899 928 992 1112 1798 2224 3596 4031 4309 4448 7192 8062 8618 14384 16124 17236 28768 32248 34472 64496 68944 124961 128992 137888 249922 499844 999688 1999376 3998752