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48460048 = 2471383401
BaseRepresentation
bin1011100011011…
…1000100010000
310101012000200121
42320313010100
544401210143
64450400024
71125621640
oct270670420
9111160617
1048460048
112539982a
1214290014
13a0694b0
146616520
1543c37ed
hex2e37110

48460048 has 80 divisors (see below), whose sum is σ = 117242496. Its totient is φ = 18892800.

The previous prime is 48460043. The next prime is 48460079. The reversal of 48460048 is 84006484.

It is a junction number, because it is equal to n+sod(n) for n = 48459995 and 48460022.

It is not an unprimeable number, because it can be changed into a prime (48460043) 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 15 ways as a sum of consecutive naturals, for example, 120648 + ... + 121048.

Almost surely, 248460048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48460048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58621248).

48460048 is an abundant number, since it is smaller than the sum of its proper divisors (68782448).

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

48460048 is a wasteful number, since it uses less digits than its factorization.

48460048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 34.

The square root of 48460048 is about 6961.3251612031. The cubic root of 48460048 is about 364.5814881634.

The spelling of 48460048 in words is "forty-eight million, four hundred sixty thousand, forty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 83 91 104 112 166 182 208 332 364 401 581 664 728 802 1079 1162 1328 1456 1604 2158 2324 2807 3208 4316 4648 5213 5614 6416 7553 8632 9296 10426 11228 15106 17264 20852 22456 30212 33283 36491 41704 44912 60424 66566 72982 83408 120848 133132 145964 232981 266264 291928 432679 465962 532528 583856 865358 931924 1730716 1863848 3028753 3461432 3727696 6057506 6922864 12115012 24230024 48460048