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48068880 = 2435533779
BaseRepresentation
bin1011011101011…
…1100100010000
310100110011002220
42313113210100
544301201010
64434141040
71122402336
oct267274420
9110404086
1048068880
1125151952
1214121780
139c60432
146553b56
154347970
hex2dd7910

48068880 has 80 divisors (see below), whose sum is σ = 151865280. Its totient is φ = 12573184.

The previous prime is 48068861. The next prime is 48068897. The reversal of 48068880 is 8886084.

48068880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×480688803 (a number of 24 digits) contains 333 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 10831 + ... + 14609.

It is an arithmetic number, because the mean of its divisors is an integer number (1898316).

Almost surely, 248068880 is an apocalyptic number.

48068880 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 48068880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75932640).

48068880 is an abundant number, since it is smaller than the sum of its proper divisors (103796400).

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

48068880 is a wasteful number, since it uses less digits than its factorization.

48068880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3848 (or 3842 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 42.

The square root of 48068880 is about 6933.1724340305. The cubic root of 48068880 is about 363.5978733503.

The spelling of 48068880 in words is "forty-eight million, sixty-eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 53 60 80 106 120 159 212 240 265 318 424 530 636 795 848 1060 1272 1590 2120 2544 3180 3779 4240 6360 7558 11337 12720 15116 18895 22674 30232 37790 45348 56685 60464 75580 90696 113370 151160 181392 200287 226740 302320 400574 453480 600861 801148 906960 1001435 1201722 1602296 2002870 2403444 3004305 3204592 4005740 4806888 6008610 8011480 9613776 12017220 16022960 24034440 48068880