Search a number
-
+
2461992 = 233132607
BaseRepresentation
bin1001011001000100101000
311122002012220
421121010220
51112240432
6124434040
726632551
oct11310450
94562186
102461992
111431805
129a8920
13682800
14481328
1533972c
hex259128

2461992 has 48 divisors (see below), whose sum is σ = 6675840. Its totient is φ = 756288.

The previous prime is 2461973. The next prime is 2461993. The reversal of 2461992 is 2991642.

It is a super-2 number, since 2×24619922 = 12122809216128, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2461993) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3753 + ... + 4359.

It is an arithmetic number, because the mean of its divisors is an integer number (139080).

22461992 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 2461992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3337920).

2461992 is an abundant number, since it is smaller than the sum of its proper divisors (4213848).

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

2461992 is a wasteful number, since it uses less digits than its factorization.

2461992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 625 counting only the distinct ones).

The product of its digits is 7776, while the sum is 33.

The square root of 2461992 is about 1569.0736120399. The cubic root of 2461992 is about 135.0295682833.

The spelling of 2461992 in words is "two million, four hundred sixty-one thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 169 312 338 507 607 676 1014 1214 1352 1821 2028 2428 3642 4056 4856 7284 7891 14568 15782 23673 31564 47346 63128 94692 102583 189384 205166 307749 410332 615498 820664 1230996 2461992