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7842044 = 2274759101
BaseRepresentation
bin11101111010100011111100
3112202102021002
4131322203330
54001421134
6440025432
7123441050
oct35724374
915672232
107842044
114476931
122762278
131817582
141081c60
15a4d87e
hex77a8fc

7842044 has 48 divisors (see below), whose sum is σ = 16450560. Its totient is φ = 3201600.

The previous prime is 7842031. The next prime is 7842047. The reversal of 7842044 is 4402487.

It is a super-2 number, since 2×78420442 = 122995308195872, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7841998 and 7842016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7842047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77594 + ... + 77694.

It is an arithmetic number, because the mean of its divisors is an integer number (342720).

Almost surely, 27842044 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 7842044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8225280).

7842044 is an abundant number, since it is smaller than the sum of its proper divisors (8608516).

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

7842044 is a wasteful number, since it uses less digits than its factorization.

7842044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 29.

The square root of 7842044 is about 2800.3649762129. The cubic root of 7842044 is about 198.6749404739.

The spelling of 7842044 in words is "seven million, eight hundred forty-two thousand, forty-four".

Divisors: 1 2 4 7 14 28 47 59 94 101 118 188 202 236 329 404 413 658 707 826 1316 1414 1652 2773 2828 4747 5546 5959 9494 11092 11918 18988 19411 23836 33229 38822 41713 66458 77644 83426 132916 166852 280073 560146 1120292 1960511 3921022 7842044