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24994404 = 22322989269
BaseRepresentation
bin101111101011…
…0001001100100
31202000211212200
41133112021210
522344310104
62251414500
7422306661
oct137261144
952024780
1024994404
1113121736
128454430
1352417b6
143468a68
1522dab39
hex17d6264

24994404 has 72 divisors (see below), whose sum is σ = 66339000. Its totient is φ = 7924224.

The previous prime is 24994391. The next prime is 24994423. The reversal of 24994404 is 40449942.

It is a happy number.

24994404 is a `hidden beast` number, since 249 + 9 + 4 + 404 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14400 + 24980004 = 120^2 + 4998^2 .

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92782 + ... + 93050.

It is an arithmetic number, because the mean of its divisors is an integer number (921375).

Almost surely, 224994404 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 24994404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33169500).

24994404 is an abundant number, since it is smaller than the sum of its proper divisors (41344596).

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

24994404 is a wasteful number, since it uses less digits than its factorization.

24994404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 24994404 is about 4999.4403686813. The cubic root of 24994404 is about 292.3799551222.

It can be divided in two parts, 2499 and 4404, that added together give a triangular number (6903 = T117).

The spelling of 24994404 in words is "twenty-four million, nine hundred ninety-four thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 89 116 174 178 261 267 269 348 356 522 534 538 801 807 1044 1068 1076 1602 1614 2421 2581 3204 3228 4842 5162 7743 7801 9684 10324 15486 15602 23229 23403 23941 30972 31204 46458 46806 47882 70209 71823 92916 93612 95764 140418 143646 215469 280836 287292 430938 694289 861876 1388578 2082867 2777156 4165734 6248601 8331468 12497202 24994404