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42818192 = 2431173499
BaseRepresentation
bin1010001101010…
…1101010010000
32222120101111222
42203111222100
541430140232
64125424212
71026643244
oct243255220
988511458
1042818192
1122195a3a
121240b068
138b42511
145988424
153b5bd12
hex28d5a90

42818192 has 40 divisors (see below), whose sum is σ = 86304000. Its totient is φ = 20557440.

The previous prime is 42818179. The next prime is 42818197. The reversal of 42818192 is 29181824.

It is a super-2 number, since 2×428181922 = 3666795132297728, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42818197) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 85559 + ... + 86057.

It is an arithmetic number, because the mean of its divisors is an integer number (2157600).

Almost surely, 242818192 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 42818192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43152000).

42818192 is an abundant number, since it is smaller than the sum of its proper divisors (43485808).

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

42818192 is a wasteful number, since it uses less digits than its factorization.

42818192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 705 counting only the distinct ones).

The product of its digits is 9216, while the sum is 35.

The square root of 42818192 is about 6543.5611099767. The cubic root of 42818192 is about 349.8453520869.

The spelling of 42818192 in words is "forty-two million, eight hundred eighteen thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 31 62 124 173 248 346 496 499 692 998 1384 1996 2768 3992 5363 7984 10726 15469 21452 30938 42904 61876 85808 86327 123752 172654 247504 345308 690616 1381232 2676137 5352274 10704548 21409096 42818192