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42755048 = 2372293761
BaseRepresentation
bin1010001100011…
…0001111101000
32222110011220022
42203012033220
541421130143
64124220012
71026261200
oct243061750
988404808
1042755048
1122152556
121239a608
138b1c85b
14596d400
153b48268
hex28c63e8

42755048 has 48 divisors (see below), whose sum is σ = 96495300. Its totient is φ = 17687040.

The previous prime is 42755039. The next prime is 42755057. The reversal of 42755048 is 84055724.

It is an interprime number because it is at equal distance from previous prime (42755039) and next prime (42755057).

It can be written as a sum of positive squares in 2 ways, for example, as 42745444 + 9604 = 6538^2 + 98^2 .

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 42754999 and 42755017.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9488 + ... + 13248.

Almost surely, 242755048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42755048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48247650).

42755048 is an abundant number, since it is smaller than the sum of its proper divisors (53740252).

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

42755048 is a wasteful number, since it uses less digits than its factorization.

42755048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3810 (or 3799 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 35.

The square root of 42755048 is about 6538.7344341241. The cubic root of 42755048 is about 349.6732951347.

The spelling of 42755048 in words is "forty-two million, seven hundred fifty-five thousand, forty-eight".

Divisors: 1 2 4 7 8 14 28 29 49 56 58 98 116 196 203 232 392 406 812 1421 1624 2842 3761 5684 7522 11368 15044 26327 30088 52654 105308 109069 184289 210616 218138 368578 436276 737156 763483 872552 1474312 1526966 3053932 5344381 6107864 10688762 21377524 42755048