Search a number
-
+
3982752 = 253213829
BaseRepresentation
bin1111001100010110100000
321111100022100
433030112200
52004422002
6221210400
745565344
oct17142640
97440270
103982752
112280334
121400a00
13a95a77
14759624
1553a11c
hex3cc5a0

3982752 has 36 divisors (see below), whose sum is σ = 11326770. Its totient is φ = 1327488.

The previous prime is 3982747. The next prime is 3982763. The reversal of 3982752 is 2572893.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 3825936 + 156816 = 1956^2 + 396^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6627 + ... + 7202.

Almost surely, 23982752 is an apocalyptic number.

3982752 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3982752 is an abundant number, since it is smaller than the sum of its proper divisors (7344018).

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

3982752 is a wasteful number, since it uses less digits than its factorization.

3982752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13845 (or 13834 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 3982752 is about 1995.6833416151. The cubic root of 3982752 is about 158.5116140189.

The spelling of 3982752 in words is "three million, nine hundred eighty-two thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 13829 27658 41487 55316 82974 110632 124461 165948 221264 248922 331896 442528 497844 663792 995688 1327584 1991376 3982752