Search a number
-
+
37868116 = 221113239277
BaseRepresentation
bin1001000001110…
…1001001010100
32122020220021211
42100131021110
534143234431
63431351204
7636605446
oct220351124
978226254
1037868116
111a414970
1210822504
137acb390
14505a496
1534d02b1
hex241d254

37868116 has 48 divisors (see below), whose sum is σ = 78462720. Its totient is φ = 15765120.

The previous prime is 37868111. The next prime is 37868137. The reversal of 37868116 is 61186873.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37868111) 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, 136570 + ... + 136846.

It is an arithmetic number, because the mean of its divisors is an integer number (1634640).

Almost surely, 237868116 is an apocalyptic number.

It is an amenable number.

37868116 is an abundant number, since it is smaller than the sum of its proper divisors (40594604).

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

37868116 is a wasteful number, since it uses less digits than its factorization.

37868116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 542 counting only the distinct ones).

The product of its digits is 48384, while the sum is 40.

The square root of 37868116 is about 6153.7075003611. The cubic root of 37868116 is about 335.8081505882.

The spelling of 37868116 in words is "thirty-seven million, eight hundred sixty-eight thousand, one hundred sixteen".

Divisors: 1 2 4 11 13 22 26 44 52 143 239 277 286 478 554 572 956 1108 2629 3047 3107 3601 5258 6094 6214 7202 10516 12188 12428 14404 34177 39611 66203 68354 79222 132406 136708 158444 264812 728233 860639 1456466 1721278 2912932 3442556 9467029 18934058 37868116