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48863472 = 2437413547
BaseRepresentation
bin1011101001100…
…1100011110000
310101221112002020
42322121203300
5100002112342
64503151440
71132222050
oct272314360
9111845066
1048863472
1125644939
1214445580
13a17acc8
1466bd560
1544530ec
hex2e998f0

48863472 has 80 divisors (see below), whose sum is σ = 147823872. Its totient is φ = 13616640.

The previous prime is 48863467. The next prime is 48863483. The reversal of 48863472 is 27436884.

48863472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 12003 + ... + 15549.

Almost surely, 248863472 is an apocalyptic number.

48863472 is a gapful number since it is divisible by the number (42) 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 48863472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73911936).

48863472 is an abundant number, since it is smaller than the sum of its proper divisors (98960400).

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

48863472 is a wasteful number, since it uses less digits than its factorization.

48863472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3606 (or 3600 counting only the distinct ones).

The product of its digits is 258048, while the sum is 42.

The square root of 48863472 is about 6990.2411975553. The cubic root of 48863472 is about 365.5903924874.

The spelling of 48863472 in words is "forty-eight million, eight hundred sixty-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 41 42 48 56 82 84 112 123 164 168 246 287 328 336 492 574 656 861 984 1148 1722 1968 2296 3444 3547 4592 6888 7094 10641 13776 14188 21282 24829 28376 42564 49658 56752 74487 85128 99316 145427 148974 170256 198632 290854 297948 397264 436281 581708 595896 872562 1017989 1163416 1191792 1745124 2035978 2326832 3053967 3490248 4071956 6107934 6980496 8143912 12215868 16287824 24431736 48863472