Search a number
-
+
55742676 = 223111732441
BaseRepresentation
bin1101010010100…
…1000011010100
310212220000120120
43110221003110
5103232231201
65310431540
71244543043
oct324510324
9125800516
1055742676
1129513330
12168025b0
13b719242
14759055a
154d61536
hex35290d4

55742676 has 48 divisors (see below), whose sum is σ = 142769088. Its totient is φ = 16787200.

The previous prime is 55742671. The next prime is 55742689. The reversal of 55742676 is 67624755.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55742671) 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 15 ways as a sum of consecutive naturals, for example, 21616 + ... + 24056.

It is an arithmetic number, because the mean of its divisors is an integer number (2974356).

Almost surely, 255742676 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 55742676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71384544).

55742676 is an abundant number, since it is smaller than the sum of its proper divisors (87026412).

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

55742676 is a wasteful number, since it uses less digits than its factorization.

55742676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2632 (or 2630 counting only the distinct ones).

The product of its digits is 352800, while the sum is 42.

The square root of 55742676 is about 7466.1017941092. The cubic root of 55742676 is about 381.9993329850. Note that the first 3 decimals are identical.

The spelling of 55742676 in words is "fifty-five million, seven hundred forty-two thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 173 346 519 692 1038 1903 2076 2441 3806 4882 5709 7323 7612 9764 11418 14646 22836 26851 29292 53702 80553 107404 161106 322212 422293 844586 1266879 1689172 2533758 4645223 5067516 9290446 13935669 18580892 27871338 55742676