Search a number
-
+
37081044 = 2233741113
BaseRepresentation
bin1000110101110…
…0111111010100
32120202220122000
42031130333110
533443043134
63402435300
7630120000
oct215347724
976686560
1037081044
1119a275a0
1210502b30
1378b4060
144cd3700
1533c6e99
hex235cfd4

37081044 has 240 divisors, whose sum is σ = 131759040. Its totient is φ = 8890560.

The previous prime is 37081021. The next prime is 37081061. The reversal of 37081044 is 44018073.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 37080999 and 37081017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2852382 + ... + 2852394.

It is an arithmetic number, because the mean of its divisors is an integer number (548996).

Almost surely, 237081044 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 37081044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65879520).

37081044 is an abundant number, since it is smaller than the sum of its proper divisors (94677996).

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

37081044 is a wasteful number, since it uses less digits than its factorization.

37081044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 37081044 is about 6089.4206620991. The cubic root of 37081044 is about 333.4653019682.

The spelling of 37081044 in words is "thirty-seven million, eighty-one thousand, forty-four".