Search a number
-
+
2475890082 = 232316172739
BaseRepresentation
bin1001001110010011…
…0001010110100010
320101112211020200200
42103210301112202
520032311440312
61045402530030
7115232501301
oct22344612642
96345736620
102475890082
111060636956
12591206916
13305c3a423
14196b76438
15e75670dc
hex939315a2

2475890082 has 48 divisors (see below), whose sum is σ = 5628330240. Its totient is φ = 785570400.

The previous prime is 2475890033. The next prime is 2475890107. The reversal of 2475890082 is 2800985742.

It is a super-2 number, since 2×24758900822 = 12260063396291933448, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2332 + ... + 70407.

It is an arithmetic number, because the mean of its divisors is an integer number (117256880).

Almost surely, 22475890082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2475890082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2814165120).

2475890082 is an abundant number, since it is smaller than the sum of its proper divisors (3152440158).

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

2475890082 is a wasteful number, since it uses less digits than its factorization.

2475890082 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72839 (or 72836 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 2475890082 is about 49758.3167118824. The cubic root of 2475890082 is about 1352.8317481778.

It can be divided in two parts, 247 and 5890082, that added together give a square (5890329 = 24272).

The spelling of 2475890082 in words is "two billion, four hundred seventy-five million, eight hundred ninety thousand, eighty-two".

Divisors: 1 2 3 6 9 18 31 61 62 93 122 183 186 279 366 549 558 1098 1891 3782 5673 11346 17019 34038 72739 145478 218217 436434 654651 1309302 2254909 4437079 4509818 6764727 8874158 13311237 13529454 20294181 26622474 39933711 40588362 79867422 137549449 275098898 412648347 825296694 1237945041 2475890082