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48842442 = 232113759113
BaseRepresentation
bin1011101001010…
…0011011001010
310101220110020100
42322110123022
5100000424232
64502510230
71132103535
oct272243312
9111813210
1048842442
1125630060
1214435376
13a17156c
1466b5a1c
15444bc7c
hex2e946ca

48842442 has 96 divisors (see below), whose sum is σ = 121642560. Its totient is φ = 14031360.

The previous prime is 48842413. The next prime is 48842459. The reversal of 48842442 is 24424884.

48842442 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 48842397 and 48842406.

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 47 ways as a sum of consecutive naturals, for example, 432178 + ... + 432290.

It is an arithmetic number, because the mean of its divisors is an integer number (1267110).

Almost surely, 248842442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48842442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60821280).

48842442 is an abundant number, since it is smaller than the sum of its proper divisors (72800118).

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

48842442 is a wasteful number, since it uses less digits than its factorization.

48842442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 225 counting only the distinct ones).

The product of its digits is 65536, while the sum is 36.

The square root of 48842442 is about 6988.7367957307. The cubic root of 48842442 is about 365.5379370172.

It can be divided in two parts, 48842 and 442, that added together give a square (49284 = 2222).

The spelling of 48842442 in words is "forty-eight million, eight hundred forty-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 37 59 66 74 99 111 113 118 177 198 222 226 333 339 354 407 531 649 666 678 814 1017 1062 1221 1243 1298 1947 2034 2183 2442 2486 3663 3729 3894 4181 4366 5841 6549 6667 7326 7458 8362 11187 11682 12543 13098 13334 19647 20001 22374 24013 25086 37629 39294 40002 45991 48026 60003 72039 73337 75258 91982 120006 137973 144078 146674 216117 220011 246679 275946 413919 432234 440022 493358 660033 740037 827838 1320066 1480074 2220111 2713469 4440222 5426938 8140407 16280814 24421221 48842442