Search a number
-
+
3872024 = 2313311201
BaseRepresentation
bin1110110001010100011000
321021201102022
432301110120
51442401044
6214554012
744624462
oct16612430
97251368
103872024
112205122
121368908
13a57550
1472b132
155173ee
hex3b1518

3872024 has 32 divisors (see below), whose sum is σ = 8077440. Its totient is φ = 1728000.

The previous prime is 3872023. The next prime is 3872041. The reversal of 3872024 is 4202783.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 3871984 and 3872002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3872023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2624 + ... + 3824.

It is an arithmetic number, because the mean of its divisors is an integer number (252420).

Almost surely, 23872024 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 3872024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4038720).

3872024 is an abundant number, since it is smaller than the sum of its proper divisors (4205416).

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

3872024 is a wasteful number, since it uses less digits than its factorization.

3872024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1251 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 3872024 is about 1967.7459185576. The cubic root of 3872024 is about 157.0288126491.

The spelling of 3872024 in words is "three million, eight hundred seventy-two thousand, twenty-four".

Divisors: 1 2 4 8 13 26 31 52 62 104 124 248 403 806 1201 1612 2402 3224 4804 9608 15613 31226 37231 62452 74462 124904 148924 297848 484003 968006 1936012 3872024