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24256420 = 2254129581
BaseRepresentation
bin101110010000…
…1111110100100
31200122100112221
41130201332210
522202201140
62223522124
7413114266
oct134417644
950570487
1024256420
1112768231
128159344
135043916
143315b36
1521e214a
hex1721fa4

24256420 has 24 divisors (see below), whose sum is σ = 52182648. Its totient is φ = 9465600.

The previous prime is 24256417. The next prime is 24256439. The reversal of 24256420 is 2465242.

It can be written as a sum of positive squares in 4 ways, for example, as 675684 + 23580736 = 822^2 + 4856^2 .

It is a super-2 number, since 2×242564202 = 1176747822432800, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 13971 + ... + 15610.

It is an arithmetic number, because the mean of its divisors is an integer number (2174277).

Almost surely, 224256420 is an apocalyptic number.

24256420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24256420 is an abundant number, since it is smaller than the sum of its proper divisors (27926228).

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

24256420 is a wasteful number, since it uses less digits than its factorization.

24256420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29631 (or 29629 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 24256420 is about 4925.0807099986. The cubic root of 24256420 is about 289.4735593910.

The spelling of 24256420 in words is "twenty-four million, two hundred fifty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 29581 59162 118324 147905 295810 591620 1212821 2425642 4851284 6064105 12128210 24256420