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42045500 = 2253741293
BaseRepresentation
bin1010000001100…
…1000000111100
32221010010120202
42200121000330
541230424000
64101103032
71020244430
oct240310074
987103522
1042045500
1121808452
12120b7a78
1389318c3
1458269c0
153a57dd5
hex281903c

42045500 has 96 divisors (see below), whose sum is σ = 107872128. Its totient is φ = 14016000.

The previous prime is 42045491. The next prime is 42045511. The reversal of 42045500 is 554024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143354 + ... + 143646.

It is an arithmetic number, because the mean of its divisors is an integer number (1123668).

Almost surely, 242045500 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 42045500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53936064).

42045500 is an abundant number, since it is smaller than the sum of its proper divisors (65826628).

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

42045500 is a wasteful number, since it uses less digits than its factorization.

42045500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 42045500 is about 6484.2501494005. The cubic root of 42045500 is about 347.7281423725.

42045500 divided by its sum of digits (20) gives a triangular number (2102275 = T2050).

Adding to 42045500 its reverse (554024), we get a palindrome (42599524).

The spelling of 42045500 in words is "forty-two million, forty-five thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 41 50 70 82 100 125 140 164 175 205 250 287 293 350 410 500 574 586 700 820 875 1025 1148 1172 1435 1465 1750 2050 2051 2870 2930 3500 4100 4102 5125 5740 5860 7175 7325 8204 10250 10255 12013 14350 14650 20500 20510 24026 28700 29300 35875 36625 41020 48052 51275 60065 71750 73250 84091 102550 120130 143500 146500 168182 205100 240260 256375 300325 336364 420455 512750 600650 840910 1025500 1201300 1501625 1681820 2102275 3003250 4204550 6006500 8409100 10511375 21022750 42045500