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7852428 = 2232593697
BaseRepresentation
bin11101111101000110001100
3112202221111200
4131331012030
54002234203
6440145500
7123513243
oct35750614
915687450
107852428
114483711
122768290
13181c20c
14108595a
15a519a3
hex77d18c

7852428 has 36 divisors (see below), whose sum is σ = 20191080. Its totient is φ = 2572416.

The previous prime is 7852421. The next prime is 7852433. The reversal of 7852428 is 8242587.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 7852392 and 7852401.

It is not an unprimeable number, because it can be changed into a prime (7852421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 276 + ... + 3972.

Almost surely, 27852428 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 7852428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10095540).

7852428 is an abundant number, since it is smaller than the sum of its proper divisors (12338652).

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

7852428 is a wasteful number, since it uses less digits than its factorization.

7852428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3766 (or 3761 counting only the distinct ones).

The product of its digits is 35840, while the sum is 36.

The square root of 7852428 is about 2802.2184069055. The cubic root of 7852428 is about 198.7625932450.

The spelling of 7852428 in words is "seven million, eight hundred fifty-two thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 177 236 354 531 708 1062 2124 3697 7394 11091 14788 22182 33273 44364 66546 133092 218123 436246 654369 872492 1308738 1963107 2617476 3926214 7852428