Search a number
-
+
39090414 = 23111394261
BaseRepresentation
bin1001010100011…
…1100011101110
32201112222222010
42111013203232
540001343124
63513502050
7653156136
oct225074356
981488863
1039090414
112007a230
1211111926
13813882c
145297ac6
153672529
hex25478ee

39090414 has 32 divisors (see below), whose sum is σ = 85921920. Its totient is φ = 11757600.

The previous prime is 39090383. The next prime is 39090419. The reversal of 39090414 is 41409093.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39090419) 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, 7044 + ... + 11304.

It is an arithmetic number, because the mean of its divisors is an integer number (2685060).

Almost surely, 239090414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39090414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42960960).

39090414 is an abundant number, since it is smaller than the sum of its proper divisors (46831506).

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

39090414 is a wasteful number, since it uses less digits than its factorization.

39090414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4416.

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 39090414 is about 6252.2327211965. The cubic root of 39090414 is about 339.3830044339.

The spelling of 39090414 in words is "thirty-nine million, ninety thousand, four hundred fourteen".

Divisors: 1 2 3 6 11 22 33 66 139 278 417 834 1529 3058 4261 4587 8522 9174 12783 25566 46871 93742 140613 281226 592279 1184558 1776837 3553674 6515069 13030138 19545207 39090414