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42817100 = 22521034157
BaseRepresentation
bin1010001101010…
…1011001001100
32222120100000112
42203111121030
541430121400
64125415152
71026640124
oct243253114
988510015
1042817100
1122195137
121240a4b8
138b41b81
145987c84
153b5b835
hex28d564c

42817100 has 36 divisors (see below), whose sum is σ = 93837744. Its totient is φ = 16956480.

The previous prime is 42817091. The next prime is 42817109. The reversal of 42817100 is 171824.

It is an interprime number because it is at equal distance from previous prime (42817091) and next prime (42817109).

It is not an unprimeable number, because it can be changed into a prime (42817109) 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, 8222 + ... + 12378.

It is an arithmetic number, because the mean of its divisors is an integer number (2606604).

Almost surely, 242817100 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 42817100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46918872).

42817100 is an abundant number, since it is smaller than the sum of its proper divisors (51020644).

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

42817100 is a wasteful number, since it uses less digits than its factorization.

42817100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4274 (or 4267 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 23.

The square root of 42817100 is about 6543.4776686407. The cubic root of 42817100 is about 349.8423780054.

Adding to 42817100 its reverse (171824), we get a palindrome (42988924).

The spelling of 42817100 in words is "forty-two million, eight hundred seventeen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 103 206 412 515 1030 2060 2575 4157 5150 8314 10300 16628 20785 41570 83140 103925 207850 415700 428171 856342 1712684 2140855 4281710 8563420 10704275 21408550 42817100