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2421415104 = 26318169677
BaseRepresentation
bin1001000001010011…
…1101110011000000
320020202022122001220
42100110331303000
514424340240404
61040135155040
7114001455153
oct22024756300
96222278056
102421415104
11103290a009
12576b15a80
132c7876204
1418d835c9a
15e28a64d9
hex9053dcc0

2421415104 has 56 divisors (see below), whose sum is σ = 6442149168. Its totient is φ = 802667520.

The previous prime is 2421415093. The next prime is 2421415121. The reversal of 2421415104 is 4015141242.

It is a super-2 number, since 2×24214151042 = 11726502211758661632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 87 + ... + 69590.

It is an arithmetic number, because the mean of its divisors is an integer number (115038378).

Almost surely, 22421415104 is an apocalyptic number.

2421415104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2421415104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3221074584).

2421415104 is an abundant number, since it is smaller than the sum of its proper divisors (4020734064).

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

2421415104 is a wasteful number, since it uses less digits than its factorization.

2421415104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69873 (or 69863 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 2421415104 is about 49207.8764426997. The cubic root of 2421415104 is about 1342.8363297729.

Adding to 2421415104 its reverse (4015141242), we get a palindrome (6436556346).

The spelling of 2421415104 in words is "two billion, four hundred twenty-one million, four hundred fifteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 181 192 362 543 724 1086 1448 2172 2896 4344 5792 8688 11584 17376 34752 69677 139354 209031 278708 418062 557416 836124 1114832 1672248 2229664 3344496 4459328 6688992 12611537 13377984 25223074 37834611 50446148 75669222 100892296 151338444 201784592 302676888 403569184 605353776 807138368 1210707552 2421415104