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24980004 = 223274172
BaseRepresentation
bin101111101001…
…0101000100100
31202000010010100
41133102220210
522343330004
62251224100
7422220000
oct137225044
952003110
1024980004
1113111935
128448030
13523808a
143463700
1522d6739
hex17d2a24

24980004 has 135 divisors (see below), whose sum is σ = 78251537. Its totient is φ = 6717312.

The previous prime is 24979973. The next prime is 24980009. The reversal of 24980004 is 40008942.

The square root of 24980004 is 4998.

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

It can be written as a sum of positive squares in only one way, i.e., 19448100 + 5531904 = 4410^2 + 2352^2 .

It is a nialpdrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 24980004.

It is not an unprimeable number, because it can be changed into a prime (24980009) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1469404 + ... + 1469420.

Almost surely, 224980004 is an apocalyptic number.

24980004 is the 4998-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24980004

24980004 is an abundant number, since it is smaller than the sum of its proper divisors (53271533).

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

24980004 is a wasteful number, since it uses less digits than its factorization.

24980004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The cubic root of 24980004 is about 292.3237948158.

Multiplying 24980004 by its product of nonzero digits (2304), we get a square (57553929216 = 2399042).

Adding to 24980004 its reverse (40008942), we get a palindrome (64988946).

The spelling of 24980004 in words is "twenty-four million, nine hundred eighty thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 49 51 63 68 84 98 102 119 126 147 153 196 204 238 252 289 294 306 343 357 441 476 578 588 612 686 714 833 867 882 1029 1071 1156 1372 1428 1666 1734 1764 2023 2058 2142 2401 2499 2601 3087 3332 3468 4046 4116 4284 4802 4998 5202 5831 6069 6174 7203 7497 8092 9604 9996 10404 11662 12138 12348 14161 14406 14994 17493 18207 21609 23324 24276 28322 28812 29988 34986 36414 40817 42483 43218 52479 56644 69972 72828 81634 84966 86436 99127 104958 122451 127449 163268 169932 198254 209916 244902 254898 297381 367353 396508 489804 509796 594762 693889 734706 892143 1189524 1387778 1469412 1784286 2081667 2775556 3568572 4163334 6245001 8326668 12490002 24980004