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24928420 = 22511210301
BaseRepresentation
bin101111100011…
…0000010100100
31201220111100211
41133012002210
522340202140
62250145204
7421613416
oct137060244
951814324
1024928420
1113087100
128422204
13521a75a
14344c9b6
1522c62ea
hex17c60a4

24928420 has 36 divisors (see below), whose sum is σ = 57546972. Its totient is φ = 9064000.

The previous prime is 24928403. The next prime is 24928441. The reversal of 24928420 is 2482942.

It can be written as a sum of positive squares in 2 ways, for example, as 17842176 + 7086244 = 4224^2 + 2662^2 .

It is a super-2 number, since 2×249284202 = 1242852247392800, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 2731 + ... + 7570.

It is an arithmetic number, because the mean of its divisors is an integer number (1598527).

Almost surely, 224928420 is an apocalyptic number.

24928420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24928420 is an abundant number, since it is smaller than the sum of its proper divisors (32618552).

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

24928420 is a wasteful number, since it uses less digits than its factorization.

24928420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10332 (or 10319 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 24928420 is about 4992.8368689554. The cubic root of 24928420 is about 292.1224388011.

The spelling of 24928420 in words is "twenty-four million, nine hundred twenty-eight thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2420 10301 20602 41204 51505 103010 113311 206020 226622 453244 566555 1133110 1246421 2266220 2492842 4985684 6232105 12464210 24928420