Search a number
-
+
5073642 = 232767601
BaseRepresentation
bin10011010110101011101010
3100112202201200
4103112223222
52244324032
6300425030
761060650
oct23265352
910482650
105073642
1129559a2
121848176
131088472
14960dd0
156a347c
hex4d6aea

5073642 has 48 divisors (see below), whose sum is σ = 12772032. Its totient is φ = 1425600.

The previous prime is 5073631. The next prime is 5073643. The reversal of 5073642 is 2463705.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5073643) 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 23 ways as a sum of consecutive naturals, for example, 8142 + ... + 8742.

It is an arithmetic number, because the mean of its divisors is an integer number (266084).

Almost surely, 25073642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5073642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6386016).

5073642 is an abundant number, since it is smaller than the sum of its proper divisors (7698390).

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

5073642 is a wasteful number, since it uses less digits than its factorization.

5073642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 5073642 is about 2252.4746391469. The cubic root of 5073642 is about 171.8330135238.

The spelling of 5073642 in words is "five million, seventy-three thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 67 126 134 201 402 469 601 603 938 1202 1206 1407 1803 2814 3606 4207 4221 5409 8414 8442 10818 12621 25242 37863 40267 75726 80534 120801 241602 281869 362403 563738 724806 845607 1691214 2536821 5073642