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48026880 = 2832511379
BaseRepresentation
bin1011011100110…
…1010100000000
310100101000111100
42313031110000
544243330010
64433214400
71122136026
oct267152400
9110330440
1048026880
1125123340
1214101400
139c47295
146542716
15433a2c0
hex2dcd500

48026880 has 216 divisors, whose sum is σ = 181752480. Its totient is φ = 11612160.

The previous prime is 48026879. The next prime is 48026897. The reversal of 48026880 is 8862084.

It is a super-3 number, since 3×480268803 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 126531 + ... + 126909.

Almost surely, 248026880 is an apocalyptic number.

48026880 is a gapful number since it is divisible by the number (40) 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 48026880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90876240).

48026880 is an abundant number, since it is smaller than the sum of its proper divisors (133725600).

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

48026880 is a wasteful number, since it uses less digits than its factorization.

48026880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 48026880 is about 6930.1428556704. The cubic root of 48026880 is about 363.4919450759.

The spelling of 48026880 in words is "forty-eight million, twenty-six thousand, eight hundred eighty".