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3974496 = 253192179
BaseRepresentation
bin1111001010010101100000
321110220222120
433022111200
52004140441
6221104240
745532311
oct17122540
97426876
103974496
112275109
1213b8080
13a92096
14756608
15537966
hex3ca560

3974496 has 48 divisors (see below), whose sum is σ = 10987200. Its totient is φ = 1254528.

The previous prime is 3974491. The next prime is 3974497. The reversal of 3974496 is 6944793.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3974491) 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, 735 + ... + 2913.

It is an arithmetic number, because the mean of its divisors is an integer number (228900).

Almost surely, 23974496 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 3974496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5493600).

3974496 is an abundant number, since it is smaller than the sum of its proper divisors (7012704).

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

3974496 is a wasteful number, since it uses less digits than its factorization.

3974496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2211 (or 2203 counting only the distinct ones).

The product of its digits is 163296, while the sum is 42.

The square root of 3974496 is about 1993.6138041256. The cubic root of 3974496 is about 158.4020099735.

The spelling of 3974496 in words is "three million, nine hundred seventy-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 2179 4358 6537 8716 13074 17432 26148 34864 41401 52296 69728 82802 104592 124203 165604 209184 248406 331208 496812 662416 993624 1324832 1987248 3974496