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42045510 = 2351328293
BaseRepresentation
bin1010000001100…
…1000001000110
32221010010121010
42200121001012
541230424020
64101103050
71020244443
oct240310106
987103533
1042045510
1121808461
12120b7a86
138931900
1458269ca
153a57de0
hex2819046

42045510 has 48 divisors (see below), whose sum is σ = 109281744. Its totient is φ = 10348416.

The previous prime is 42045491. The next prime is 42045511. The reversal of 42045510 is 1554024.

It is a super-2 number, since 2×420455102 = 3535649822320200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42045511) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 924 + ... + 9216.

It is an arithmetic number, because the mean of its divisors is an integer number (2276703).

Almost surely, 242045510 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42045510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54640872).

42045510 is an abundant number, since it is smaller than the sum of its proper divisors (67236234).

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

42045510 is a wasteful number, since it uses less digits than its factorization.

42045510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8329 (or 8316 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 42045510 is about 6484.2509204996. The cubic root of 42045510 is about 347.7281699401.

Adding to 42045510 its reverse (1554024), we get a palindrome (43599534).

The spelling of 42045510 in words is "forty-two million, forty-five thousand, five hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 169 195 338 390 507 845 1014 1690 2535 5070 8293 16586 24879 41465 49758 82930 107809 124395 215618 248790 323427 539045 646854 1078090 1401517 1617135 2803034 3234270 4204551 7007585 8409102 14015170 21022755 42045510