Search a number
-
+
57044736 = 28357131
BaseRepresentation
bin1101100110011…
…0111100000000
310222100011200000
43121212330000
5104100412421
65354400000
71261605120
oct331467400
9128304600
1057044736
112a222611
1217130000
13ba83aa8
14780cc80
15501c226
hex3666f00

57044736 has 216 divisors, whose sum is σ = 196420224. Its totient is φ = 16174080.

The previous prime is 57044731. The next prime is 57044747. The reversal of 57044736 is 63744075.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a self number, because there is not a number n which added to its sum of digits gives 57044736.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57044731) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 435391 + ... + 435521.

Almost surely, 257044736 is an apocalyptic number.

57044736 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57044736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98210112).

57044736 is an abundant number, since it is smaller than the sum of its proper divisors (139375488).

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

57044736 is an equidigital number, since it uses as much as digits as its factorization.

57044736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 57044736 is about 7552.7965681594. The cubic root of 57044736 is about 384.9507689903.

It can be divided in two parts, 5704 and 4736, that added together give a triangular number (10440 = T144).

The spelling of 57044736 in words is "fifty-seven million, forty-four thousand, seven hundred thirty-six".