Search a number
-
+
2042372916 = 2232371533313
BaseRepresentation
bin111100110111100…
…0010001100110100
312021100002021221100
41321233002030310
513140321413131
6534355050100
7101416611663
oct17157021464
95240067840
102042372916
11958959001
1248bba0930
13267191cac
14155368dda
15be4827e6
hex79bc2334

2042372916 has 36 divisors (see below), whose sum is σ = 5302199812. Its totient is φ = 662390784.

The previous prime is 2042372881. The next prime is 2042372951. The reversal of 2042372916 is 6192732402.

It is an interprime number because it is at equal distance from previous prime (2042372881) and next prime (2042372951).

It can be written as a sum of positive squares in 2 ways, for example, as 717704100 + 1324668816 = 26790^2 + 36396^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 765325 + ... + 767988.

Almost surely, 22042372916 is an apocalyptic number.

It is an amenable number.

2042372916 is an abundant number, since it is smaller than the sum of its proper divisors (3259826896).

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

2042372916 is a wasteful number, since it uses less digits than its factorization.

2042372916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1533360 (or 1533355 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 2042372916 is about 45192.6201497545. The cubic root of 2042372916 is about 1268.7566967186.

It can be divided in two parts, 20423 and 72916, that added together give a palindrome (93339).

The spelling of 2042372916 in words is "two billion, forty-two million, three hundred seventy-two thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 1533313 3066626 4599939 6133252 9199878 13799817 18399756 27599634 55199268 56732581 113465162 170197743 226930324 340395486 510593229 680790972 1021186458 2042372916