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2352056004 = 22325921372
BaseRepresentation
bin1000110000110001…
…1000011011000100
320001220210211021100
42030030120123010
514304111243004
61025220420100
7112200101064
oct21414303304
96056724240
102352056004
11aa7746541
12557847630
132b63a031c
1418453d3a4
15db755739
hex8c3186c4

2352056004 has 81 divisors (see below), whose sum is σ = 6092421517. Its totient is φ = 765104448.

The previous prime is 2352055943. The next prime is 2352056017. The reversal of 2352056004 is 4006502532.

The square root of 2352056004 is 48498.

It is a perfect power (a square), and thus also a powerful number.

2352056004 is a `hidden beast` number, since 2 + 3 + 52 + 0 + 5 + 600 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1381608900 + 970447104 = 37170^2 + 31152^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17168224 + ... + 17168360.

Almost surely, 22352056004 is an apocalyptic number.

2352056004 is the 48498-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2352056004

2352056004 is an abundant number, since it is smaller than the sum of its proper divisors (3740365513).

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

2352056004 is a wasteful number, since it uses less digits than its factorization.

2352056004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The cubic root of 2352056004 is about 1329.8905075031.

Adding to 2352056004 its reverse (4006502532), we get a palindrome (6358558536).

It can be divided in two parts, 23520 and 56004, that added together give a square (79524 = 2822).

The spelling of 2352056004 in words is "two billion, three hundred fifty-two million, fifty-six thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 137 177 236 274 354 411 531 548 708 822 1062 1233 1644 2124 2466 3481 4932 6962 8083 10443 13924 16166 18769 20886 24249 31329 32332 37538 41772 48498 56307 62658 72747 75076 96996 112614 125316 145494 168921 225228 290988 337842 476897 675684 953794 1107371 1430691 1907588 2214742 2861382 3322113 4292073 4429484 5722764 6644226 8584146 9966339 13288452 17168292 19932678 39865356 65334889 130669778 196004667 261339556 392009334 588014001 784018668 1176028002 2352056004