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4074048 = 263211643
BaseRepresentation
bin1111100010101001000000
321122222112200
433202221000
52020332143
6223153200
746425456
oct17425100
97588480
104074048
112332990
121445800
13ac84a4
147809d6
155571d3
hex3e2a40

4074048 has 84 divisors (see below), whose sum is σ = 12758928. Its totient is φ = 1232640.

The previous prime is 4074043. The next prime is 4074053. The reversal of 4074048 is 8404704.

It is an interprime number because it is at equal distance from previous prime (4074043) and next prime (4074053).

It is not an unprimeable number, because it can be changed into a prime (4074041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6015 + ... + 6657.

It is an arithmetic number, because the mean of its divisors is an integer number (151892).

Almost surely, 24074048 is an apocalyptic number.

4074048 is a gapful number since it is divisible by the number (48) 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 4074048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6379464).

4074048 is an abundant number, since it is smaller than the sum of its proper divisors (8684880).

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

4074048 is a wasteful number, since it uses less digits than its factorization.

4074048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 4074048 is about 2018.4271104006. The cubic root of 4074048 is about 159.7136545115.

It can be divided in two parts, 40 and 74048, that added together give a cube (74088 = 423).

The spelling of 4074048 in words is "four million, seventy-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 132 144 176 192 198 264 288 352 396 528 576 643 704 792 1056 1286 1584 1929 2112 2572 3168 3858 5144 5787 6336 7073 7716 10288 11574 14146 15432 20576 21219 23148 28292 30864 41152 42438 46296 56584 61728 63657 84876 92592 113168 123456 127314 169752 185184 226336 254628 339504 370368 452672 509256 679008 1018512 1358016 2037024 4074048