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24993990 = 2325797409
BaseRepresentation
bin101111101011…
…0000011000110
31202000211022100
41133112003012
522344301430
62251412530
7422305530
oct137260306
952024270
1024993990
111312139a
128454146
135241558
143468850
1522da960
hex17d60c6

24993990 has 96 divisors (see below), whose sum is σ = 75216960. Its totient is φ = 5640192.

The previous prime is 24993971. The next prime is 24994003. The reversal of 24993990 is 9939942.

It is a super-2 number, since 2×249939902 = 1249399072240200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

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 47 ways as a sum of consecutive naturals, for example, 60906 + ... + 61314.

It is an arithmetic number, because the mean of its divisors is an integer number (783510).

Almost surely, 224993990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24993990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37608480).

24993990 is an abundant number, since it is smaller than the sum of its proper divisors (50222970).

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

24993990 is a wasteful number, since it uses less digits than its factorization.

24993990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The square root of 24993990 is about 4999.3989638756. The cubic root of 24993990 is about 292.3783408146.

The spelling of 24993990 in words is "twenty-four million, nine hundred ninety-three thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 97 105 126 194 210 291 315 409 485 582 630 679 818 873 970 1227 1358 1455 1746 2037 2045 2454 2863 2910 3395 3681 4074 4090 4365 5726 6111 6135 6790 7362 8589 8730 10185 12222 12270 14315 17178 18405 20370 25767 28630 30555 36810 39673 42945 51534 61110 79346 85890 119019 128835 198365 238038 257670 277711 357057 396730 555422 595095 714114 833133 1190190 1388555 1666266 1785285 2499399 2777110 3570570 4165665 4998798 8331330 12496995 24993990