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42420528 = 2432594993
BaseRepresentation
bin1010000111010…
…0100100110000
32221211012000200
42201310210300
541324424103
64113115200
71023366003
oct241644460
987735020
1042420528
1121a44197
1212258b00
138a33507
1458c353a
153ace0a3
hex2874930

42420528 has 60 divisors (see below), whose sum is σ = 120754920. Its totient is φ = 13897728.

The previous prime is 42420509. The next prime is 42420529. The reversal of 42420528 is 82502424.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (42420529) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6000 + ... + 10992.

It is an arithmetic number, because the mean of its divisors is an integer number (2012582).

Almost surely, 242420528 is an apocalyptic number.

42420528 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 42420528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60377460).

42420528 is an abundant number, since it is smaller than the sum of its proper divisors (78334392).

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

42420528 is a wasteful number, since it uses less digits than its factorization.

42420528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5066 (or 5057 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 42420528 is about 6513.1043289663. The cubic root of 42420528 is about 348.7589460842.

The spelling of 42420528 in words is "forty-two million, four hundred twenty thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 59 72 118 144 177 236 354 472 531 708 944 1062 1416 2124 2832 4248 4993 8496 9986 14979 19972 29958 39944 44937 59916 79888 89874 119832 179748 239664 294587 359496 589174 718992 883761 1178348 1767522 2356696 2651283 3535044 4713392 5302566 7070088 10605132 14140176 21210264 42420528