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4074672 = 243767181
BaseRepresentation
bin1111100010110010110000
321200000101210
433202302300
52020342142
6223200120
746430340
oct17426260
97600353
104074672
1123333a8
121446040
13ac8864
14780d20
1555749c
hex3e2cb0

4074672 has 80 divisors (see below), whose sum is σ = 12276992. Its totient is φ = 1140480.

The previous prime is 4074649. The next prime is 4074677. The reversal of 4074672 is 2764704.

4074672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (4074677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22422 + ... + 22602.

Almost surely, 24074672 is an apocalyptic number.

4074672 is a gapful number since it is divisible by the number (42) 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 4074672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6138496).

4074672 is an abundant number, since it is smaller than the sum of its proper divisors (8202320).

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

4074672 is a wasteful number, since it uses less digits than its factorization.

4074672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 4074672 is about 2018.5816802894. The cubic root of 4074672 is about 159.7218082555.

The spelling of 4074672 in words is "four million, seventy-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 67 84 112 134 168 181 201 268 336 362 402 469 536 543 724 804 938 1072 1086 1267 1407 1448 1608 1876 2172 2534 2814 2896 3216 3752 3801 4344 5068 5628 7504 7602 8688 10136 11256 12127 15204 20272 22512 24254 30408 36381 48508 60816 72762 84889 97016 145524 169778 194032 254667 291048 339556 509334 582096 679112 1018668 1358224 2037336 4074672