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48962448 = 24331759113
BaseRepresentation
bin1011101011000…
…1101110010000
310102010112212000
42322301232100
5100013244243
64505234000
71133113443
oct272615620
9112115760
1048962448
1125702237
1214492900
13a1b4082
14670765a
1544725d3
hex2eb1b90

48962448 has 160 divisors (see below), whose sum is σ = 152668800. Its totient is φ = 14966784.

The previous prime is 48962413. The next prime is 48962453. The reversal of 48962448 is 84426984.

48962448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 31 ways as a sum of consecutive naturals, for example, 433240 + ... + 433352.

It is an arithmetic number, because the mean of its divisors is an integer number (954180).

Almost surely, 248962448 is an apocalyptic number.

48962448 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 48962448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76334400).

48962448 is an abundant number, since it is smaller than the sum of its proper divisors (103706352).

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

48962448 is a wasteful number, since it uses less digits than its factorization.

48962448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 194 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 48962448 is about 6997.3172001847. The cubic root of 48962448 is about 365.8370680321.

The spelling of 48962448 in words is "forty-eight million, nine hundred sixty-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 59 68 72 102 108 113 118 136 144 153 177 204 216 226 236 272 306 339 354 408 432 452 459 472 531 612 678 708 816 904 918 944 1003 1017 1062 1224 1356 1416 1593 1808 1836 1921 2006 2034 2124 2448 2712 2832 3009 3051 3186 3672 3842 4012 4068 4248 5424 5763 6018 6102 6372 6667 7344 7684 8024 8136 8496 9027 11526 12036 12204 12744 13334 15368 16048 16272 17289 18054 20001 23052 24072 24408 25488 26668 27081 30736 34578 36108 40002 46104 48144 48816 51867 53336 54162 60003 69156 72216 80004 92208 103734 106672 108324 113339 120006 138312 144432 160008 180009 207468 216648 226678 240012 276624 320016 340017 360018 414936 433296 453356 480024 680034 720036 829872 906712 960048 1020051 1360068 1440072 1813424 2040102 2720136 2880144 3060153 4080204 5440272 6120306 8160408 12240612 16320816 24481224 48962448