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48982401 = 3413181257
BaseRepresentation
bin1011101011011…
…0100110000001
310102011120020000
42322312212001
5100014414101
64505510213
71133225556
oct272664601
9112146200
1048982401
1125716226
12144a2369
13a1c0190
146710a2d
154478486
hex2eb6981

48982401 has 40 divisors (see below), whose sum is σ = 79543464. Its totient is φ = 29859840.

The previous prime is 48982391. The next prime is 48982411. The reversal of 48982401 is 10428984.

48982401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (48982391) and next prime (48982411).

It can be written as a sum of positive squares in 4 ways, for example, as 1703025 + 47279376 = 1305^2 + 6876^2 .

It is not a de Polignac number, because 48982401 - 25 = 48982369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (48982411) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 190465 + ... + 190721.

Almost surely, 248982401 is an apocalyptic number.

It is an amenable number.

48982401 is a deficient number, since it is larger than the sum of its proper divisors (30561063).

48982401 is a wasteful number, since it uses less digits than its factorization.

48982401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 48982401 is about 6998.7428156777. The cubic root of 48982401 is about 365.8867561501.

The spelling of 48982401 in words is "forty-eight million, nine hundred eighty-two thousand, four hundred one".

Divisors: 1 3 9 13 27 39 81 117 181 257 351 543 771 1053 1629 2313 2353 3341 4887 6939 7059 10023 14661 20817 21177 30069 46517 63531 90207 139551 190593 270621 418653 604721 1255959 1814163 3767877 5442489 16327467 48982401