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42848040 = 23351918793
BaseRepresentation
bin1010001101110…
…0111100101000
32222121220110110
42203130330220
541432114130
64130214320
71030126254
oct243347450
988556413
1042848040
1122206404
12124243a0
138b52c91
145995264
153b65ab0
hex28dcf28

42848040 has 64 divisors (see below), whose sum is σ = 135316800. Its totient is φ = 10824192.

The previous prime is 42848023. The next prime is 42848089. The reversal of 42848040 is 4084824.

42848040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 42847989 and 42848007.

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, 7117 + ... + 11676.

It is an arithmetic number, because the mean of its divisors is an integer number (2114325).

Almost surely, 242848040 is an apocalyptic number.

42848040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42848040 is an abundant number, since it is smaller than the sum of its proper divisors (92468760).

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

42848040 is a wasteful number, since it uses less digits than its factorization.

42848040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18826 (or 18822 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The square root of 42848040 is about 6545.8414279602. The cubic root of 42848040 is about 349.9266240739.

The spelling of 42848040 in words is "forty-two million, eight hundred forty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 18793 37586 56379 75172 93965 112758 150344 187930 225516 281895 357067 375860 451032 563790 714134 751720 1071201 1127580 1428268 1785335 2142402 2255160 2856536 3570670 4284804 5356005 7141340 8569608 10712010 14282680 21424020 42848040