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3974048 = 251341233
BaseRepresentation
bin1111001010001110100000
321110220100222
433022032200
52004132143
6221102212
745531101
oct17121640
97426328
103974048
112274841
1213b7968
13a91b10
147563a8
15537768
hex3ca3a0

3974048 has 48 divisors (see below), whose sum is σ = 8668296. Its totient is φ = 1781760.

The previous prime is 3974041. The next prime is 3974053. The reversal of 3974048 is 8404793.

3974048 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1056784 + 2917264 = 1028^2 + 1708^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3973999 and 3974017.

It is not an unprimeable number, because it can be changed into a prime (3974041) 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, 16940 + ... + 17172.

Almost surely, 23974048 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 3974048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4334148).

3974048 is an abundant number, since it is smaller than the sum of its proper divisors (4694248).

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

3974048 is a wasteful number, since it uses less digits than its factorization.

3974048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 3974048 is about 1993.5014421866. The cubic root of 3974048 is about 158.3960581273.

The spelling of 3974048 in words is "three million, nine hundred seventy-four thousand, forty-eight".

Divisors: 1 2 4 8 13 16 26 32 41 52 82 104 164 208 233 328 416 466 533 656 932 1066 1312 1864 2132 3029 3728 4264 6058 7456 8528 9553 12116 17056 19106 24232 38212 48464 76424 96928 124189 152848 248378 305696 496756 993512 1987024 3974048