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42563088 = 2432734049
BaseRepresentation
bin1010001001011…
…1011000010000
32222002102120200
42202113120100
541344004323
64120135200
71024531431
oct242273020
988072520
1042563088
1122031307
1212307500
138a83379
14591d488
153b0b443
hex2897610

42563088 has 60 divisors (see below), whose sum is σ = 120779100. Its totient is φ = 13989888.

The previous prime is 42563069. The next prime is 42563099. The reversal of 42563088 is 88036524.

It can be written as a sum of positive squares in 2 ways, for example, as 17040384 + 25522704 = 4128^2 + 5052^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 8488 + ... + 12536.

It is an arithmetic number, because the mean of its divisors is an integer number (2012985).

Almost surely, 242563088 is an apocalyptic number.

42563088 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 42563088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60389550).

42563088 is an abundant number, since it is smaller than the sum of its proper divisors (78216012).

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

42563088 is a wasteful number, since it uses less digits than its factorization.

42563088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4136 (or 4127 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 42563088 is about 6524.0392396122. The cubic root of 42563088 is about 349.1491933341.

The spelling of 42563088 in words is "forty-two million, five hundred sixty-three thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 73 144 146 219 292 438 584 657 876 1168 1314 1752 2628 3504 4049 5256 8098 10512 12147 16196 24294 32392 36441 48588 64784 72882 97176 145764 194352 291528 295577 583056 591154 886731 1182308 1773462 2364616 2660193 3546924 4729232 5320386 7093848 10640772 14187696 21281544 42563088