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24992244 = 22321797421
BaseRepresentation
bin101111101010…
…1100111110100
31202000201220200
41133111213310
522344222434
62251400500
7422300454
oct137254764
952021820
1024992244
1113120052
128453130
135240814
143467d64
1522da199
hex17d59f4

24992244 has 72 divisors (see below), whose sum is σ = 67741128. Its totient is φ = 7741440.

The previous prime is 24992221. The next prime is 24992263. The reversal of 24992244 is 44229942.

24992244 = T147 + T148 + ... + T534.

It can be written as a sum of positive squares in 4 ways, for example, as 608400 + 24383844 = 780^2 + 4938^2 .

It is a super-2 number, since 2×249922442 = 1249224520311072, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 24992199 and 24992208.

It is a congruent number.

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, 59154 + ... + 59574.

It is an arithmetic number, because the mean of its divisors is an integer number (940849).

Almost surely, 224992244 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 24992244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33870564).

24992244 is an abundant number, since it is smaller than the sum of its proper divisors (42748884).

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

24992244 is a wasteful number, since it uses less digits than its factorization.

24992244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 540 counting only the distinct ones).

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

The square root of 24992244 is about 4999.2243398351. The cubic root of 24992244 is about 292.3715324516.

The spelling of 24992244 in words is "twenty-four million, nine hundred ninety-two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 97 102 153 194 204 291 306 388 421 582 612 842 873 1164 1263 1649 1684 1746 2526 3298 3492 3789 4947 5052 6596 7157 7578 9894 14314 14841 15156 19788 21471 28628 29682 40837 42942 59364 64413 81674 85884 122511 128826 163348 245022 257652 367533 490044 694229 735066 1388458 1470132 2082687 2776916 4165374 6248061 8330748 12496122 24992244