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42000048 = 24322631109
BaseRepresentation
bin1010000000110…
…1111010110000
32221000211020100
42200031322300
541223000143
64100112400
71016665056
oct240157260
987024210
1042000048
1121787292
1212095700
138916ccc
1458141d6
153a496d3
hex280deb0

42000048 has 60 divisors (see below), whose sum is σ = 118095120. Its totient is φ = 13934208.

The previous prime is 42000037. The next prime is 42000059. The reversal of 42000048 is 84000024.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42000037) and next prime (42000059).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37318 + ... + 38426.

It is an arithmetic number, because the mean of its divisors is an integer number (1968252).

Almost surely, 242000048 is an apocalyptic number.

42000048 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 42000048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59047560).

42000048 is an abundant number, since it is smaller than the sum of its proper divisors (76095072).

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

42000048 is a wasteful number, since it uses less digits than its factorization.

42000048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1386 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 42000048 is about 6480.7444016872. The cubic root of 42000048 is about 347.6027969087.

The spelling of 42000048 in words is "forty-two million, forty-eight", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 263 526 789 1052 1109 1578 2104 2218 2367 3156 3327 4208 4436 4734 6312 6654 8872 9468 9981 12624 13308 17744 18936 19962 26616 37872 39924 53232 79848 159696 291667 583334 875001 1166668 1750002 2333336 2625003 3500004 4666672 5250006 7000008 10500012 14000016 21000024 42000048