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48872208 = 24372111889
BaseRepresentation
bin1011101001101…
…1101100010000
310101221222001210
42322123230100
5100002402313
64503300120
71132256400
oct272335420
9111858053
1048872208
1125650460
121444a640
13a181c88
1466c2800
1544559c3
hex2e9bb10

48872208 has 120 divisors (see below), whose sum is σ = 160302240. Its totient is φ = 12687360.

The previous prime is 48872179. The next prime is 48872231. The reversal of 48872208 is 80227884.

48872208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 24928 + ... + 26816.

It is an arithmetic number, because the mean of its divisors is an integer number (1335852).

Almost surely, 248872208 is an apocalyptic number.

48872208 is a gapful number since it is divisible by the number (48) 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 48872208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80151120).

48872208 is an abundant number, since it is smaller than the sum of its proper divisors (111430032).

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

48872208 is a wasteful number, since it uses less digits than its factorization.

48872208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1925 (or 1912 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

The square root of 48872208 is about 6990.8660407706. The cubic root of 48872208 is about 365.6121784093.

The spelling of 48872208 in words is "forty-eight million, eight hundred seventy-two thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 49 56 66 77 84 88 98 112 132 147 154 168 176 196 231 264 294 308 336 392 462 528 539 588 616 784 924 1078 1176 1232 1617 1848 1889 2156 2352 3234 3696 3778 4312 5667 6468 7556 8624 11334 12936 13223 15112 20779 22668 25872 26446 30224 39669 41558 45336 52892 62337 79338 83116 90672 92561 105784 124674 145453 158676 166232 185122 211568 249348 277683 290906 317352 332464 370244 436359 498696 555366 581812 634704 740488 872718 997392 1018171 1110732 1163624 1480976 1745436 2036342 2221464 2327248 3054513 3490872 4072684 4442928 6109026 6981744 8145368 12218052 16290736 24436104 48872208