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7428421 = 7111341181
BaseRepresentation
bin11100010101100101000101
3111222101212201
4130111211011
53400202141
6423114501
7120066130
oct34254505
914871781
107428421
1142140a0
1225a2a31
131701220
14db5217
159bb031
hex715945

7428421 has 32 divisors (see below), whose sum is σ = 10273536. Its totient is φ = 5184000.

The previous prime is 7428419. The next prime is 7428431. The reversal of 7428421 is 1248247.

It is a 5-Lehmer number, since φ(7428421) divides (7428421-1)5.

It is a cyclic number.

It is not a de Polignac number, because 7428421 - 21 = 7428419 is a prime.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a deceptive number, since it divides R7428420.

It is a self number, because there is not a number n which added to its sum of digits gives 7428421.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7428401) 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 31 ways as a sum of consecutive naturals, for example, 40951 + ... + 41131.

It is an arithmetic number, because the mean of its divisors is an integer number (321048).

It is a Poulet number, since it divides 27428420-1.

Almost surely, 27428421 is an apocalyptic number.

It is an amenable number.

7428421 is a deficient number, since it is larger than the sum of its proper divisors (2845115).

7428421 is a wasteful number, since it uses less digits than its factorization.

7428421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253.

The product of its digits is 3584, while the sum is 28.

The square root of 7428421 is about 2725.5129792390. The cubic root of 7428421 is about 195.1186742007.

It can be divided in two parts, 74284 and 21, that added together give a triangular number (74305 = T385).

The spelling of 7428421 in words is "seven million, four hundred twenty-eight thousand, four hundred twenty-one".

Divisors: 1 7 11 13 41 77 91 143 181 287 451 533 1001 1267 1991 2353 3157 3731 5863 7421 13937 16471 25883 41041 51947 81631 96473 181181 571417 675311 1061203 7428421