Search a number
-
+
2905920372 = 2232325141947
BaseRepresentation
bin1010110100110100…
…1101001101110100
321111112000001100110
42231031031031310
521422403422442
61200203543020
7132003626025
oct25515151564
97445001313
102905920372
111261352a93
1269122aa70
13374064714
141d7d16c4c
151201ad69c
hexad34d374

2905920372 has 48 divisors (see below), whose sum is σ = 7103642112. Its totient is φ = 922812000.

The previous prime is 2905920343. The next prime is 2905920397. The reversal of 2905920372 is 2730295092.

It is a self number, because there is not a number n which added to its sum of digits gives 2905920372.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48303 + ... + 90249.

It is an arithmetic number, because the mean of its divisors is an integer number (147992544).

Almost surely, 22905920372 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 2905920372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3551821056).

2905920372 is an abundant number, since it is smaller than the sum of its proper divisors (4197721740).

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

2905920372 is a wasteful number, since it uses less digits than its factorization.

2905920372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42228 (or 42226 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 39.

The square root of 2905920372 is about 53906.5893189321. The cubic root of 2905920372 is about 1427.0129134808.

The spelling of 2905920372 in words is "two billion, nine hundred five million, nine hundred twenty thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 251 276 502 753 1004 1506 3012 5773 11546 17319 23092 34638 41947 69276 83894 125841 167788 251682 503364 964781 1929562 2894343 3859124 5788686 10528697 11577372 21057394 31586091 42114788 63172182 126344364 242160031 484320062 726480093 968640124 1452960186 2905920372