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48451104 = 25321312941
BaseRepresentation
bin1011100011010…
…0111000100000
310101011120102100
42320310320200
544400413404
64450250400
71125553602
oct270647040
9111146370
1048451104
1125393039
1214286a00
13a0653c0
146613172
1543c0d39
hex2e34e20

48451104 has 72 divisors (see below), whose sum is σ = 148392972. Its totient is φ = 14906880.

The previous prime is 48451103. The next prime is 48451129. The reversal of 48451104 is 40115484.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 48274704 + 176400 = 6948^2 + 420^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (48451103) by changing a digit.

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, 2727 + ... + 10214.

Almost surely, 248451104 is an apocalyptic number.

It is an amenable number.

48451104 is an abundant number, since it is smaller than the sum of its proper divisors (99941868).

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

48451104 is a wasteful number, since it uses less digits than its factorization.

48451104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12970 (or 12959 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 48451104 is about 6960.6827251355. The cubic root of 48451104 is about 364.5590571947.

Adding to 48451104 its reverse (40115484), we get a palindrome (88566588).

The spelling of 48451104 in words is "forty-eight million, four hundred fifty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 12941 25882 38823 51764 77646 103528 116469 155292 168233 207056 232938 310584 336466 414112 465876 504699 621168 672932 931752 1009398 1242336 1345864 1514097 1863504 2018796 2691728 3028194 3727008 4037592 5383456 6056388 8075184 12112776 16150368 24225552 48451104