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7480242 = 2337211257
BaseRepresentation
bin11100100010001110110010
3112002000222000
4130202032302
53403331432
6424154430
7120403200
oct34421662
915060860
107480242
11424a020
122608a16
13171b9a3
14dca070
159cb57c
hex7223b2

7480242 has 96 divisors (see below), whose sum is σ = 21176640. Its totient is φ = 1935360.

The previous prime is 7480229. The next prime is 7480259. The reversal of 7480242 is 2420847.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 28978 + ... + 29234.

It is an arithmetic number, because the mean of its divisors is an integer number (220590).

Almost surely, 27480242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7480242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10588320).

7480242 is an abundant number, since it is smaller than the sum of its proper divisors (13696398).

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

7480242 is a wasteful number, since it uses less digits than its factorization.

7480242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 280 counting only the distinct ones).

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

The square root of 7480242 is about 2735.0031078593. The cubic root of 7480242 is about 195.5713421073.

It can be divided in two parts, 7 and 480242, that added together give a square (480249 = 6932).

The spelling of 7480242 in words is "seven million, four hundred eighty thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 49 54 63 66 77 98 99 126 147 154 189 198 231 257 294 297 378 441 462 514 539 594 693 771 882 1078 1323 1386 1542 1617 1799 2079 2313 2646 2827 3234 3598 4158 4626 4851 5397 5654 6939 8481 9702 10794 12593 13878 14553 16191 16962 19789 25186 25443 29106 32382 37779 39578 48573 50886 59367 75558 76329 97146 113337 118734 138523 152658 178101 226674 277046 340011 356202 415569 534303 680022 831138 1068606 1246707 2493414 3740121 7480242