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24421072 = 2413137857
BaseRepresentation
bin101110100101…
…0001011010000
31200221201102011
41131022023100
522222433242
62231232304
7414401314
oct135121320
950851364
1024421072
111286aa05
128218694
1350a0850
143359b44
152225d17
hex174a2d0

24421072 has 40 divisors (see below), whose sum is σ = 51387336. Its totient is φ = 11175936.

The previous prime is 24421057. The next prime is 24421091. The reversal of 24421072 is 27012442.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5550736 + 18870336 = 2356^2 + 4344^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28068 + ... + 28924.

Almost surely, 224421072 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 24421072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25693668).

24421072 is an abundant number, since it is smaller than the sum of its proper divisors (26966264).

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

24421072 is a wasteful number, since it uses less digits than its factorization.

24421072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 22.

The square root of 24421072 is about 4941.7681046362. The cubic root of 24421072 is about 290.1270628293.

It can be divided in two parts, 244 and 21072, that added together give a square (21316 = 1462).

The spelling of 24421072 in words is "twenty-four million, four hundred twenty-one thousand, seventy-two".

Divisors: 1 2 4 8 13 16 26 52 104 137 208 274 548 857 1096 1714 1781 2192 3428 3562 6856 7124 11141 13712 14248 22282 28496 44564 89128 117409 178256 234818 469636 939272 1526317 1878544 3052634 6105268 12210536 24421072