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48420048 = 243791132
BaseRepresentation
bin1011100010110…
…1010011010000
310101002222211010
42320231103100
544343420143
64445450520
71125364215
oct270552320
9111088733
1048420048
1125371776
1214270a40
13a054221
146605b0c
1543b6a33
hex2e2d4d0

48420048 has 60 divisors (see below), whose sum is σ = 127799360. Its totient is φ = 15794688.

The previous prime is 48420017. The next prime is 48420067. The reversal of 48420048 is 84002484.

It is a junction number, because it is equal to n+sod(n) for n = 48419997 and 48420024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 428440 + ... + 428552.

Almost surely, 248420048 is an apocalyptic number.

48420048 is a gapful number since it is divisible by the number (48) 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 48420048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63899680).

48420048 is an abundant number, since it is smaller than the sum of its proper divisors (79379312).

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

48420048 is a wasteful number, since it uses less digits than its factorization.

48420048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The square root of 48420048 is about 6958.4515518900. The cubic root of 48420048 is about 364.4811493316.

The spelling of 48420048 in words is "forty-eight million, four hundred twenty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 79 113 158 226 237 316 339 452 474 632 678 904 948 1264 1356 1808 1896 2712 3792 5424 8927 12769 17854 25538 26781 35708 38307 51076 53562 71416 76614 102152 107124 142832 153228 204304 214248 306456 428496 612912 1008751 2017502 3026253 4035004 6052506 8070008 12105012 16140016 24210024 48420048