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48880640 = 21059547
BaseRepresentation
bin1011101001110…
…1110000000000
310101222101122002
42322131300000
5100003140030
64503403132
71132323104
oct272356000
9111871562
1048880640
1125656826
12144534a8
13a185a73
1466c5904
154458245
hex2e9dc00

48880640 has 44 divisors (see below), whose sum is σ = 117268536. Its totient is φ = 19550208.

The previous prime is 48880621. The next prime is 48880717. The reversal of 48880640 is 4608884.

It is a junction number, because it is equal to n+sod(n) for n = 48880594 and 48880603.

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 3 ways as a sum of consecutive naturals, for example, 347 + ... + 9893.

It is an arithmetic number, because the mean of its divisors is an integer number (2665194).

Almost surely, 248880640 is an apocalyptic number.

48880640 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 48880640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58634268).

48880640 is an abundant number, since it is smaller than the sum of its proper divisors (68387896).

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

48880640 is an equidigital number, since it uses as much as digits as its factorization.

48880640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9572 (or 9554 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 38.

The square root of 48880640 is about 6991.4690873950. The cubic root of 48880640 is about 365.6332037510.

The spelling of 48880640 in words is "forty-eight million, eight hundred eighty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2560 5120 9547 19094 38188 47735 76376 95470 152752 190940 305504 381880 611008 763760 1222016 1527520 2444032 3055040 4888064 6110080 9776128 12220160 24440320 48880640