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42815500 = 2253713941
BaseRepresentation
bin1010001101010…
…1000000001100
32222120020211021
42203111000030
541430044000
64125403524
71026632350
oct243250014
988506737
1042815500
1122193a12
12124095a4
138b41220
145987460
153b5b11a
hex28d500c

42815500 has 96 divisors (see below), whose sum is σ = 115210368. Its totient is φ = 13536000.

The previous prime is 42815491. The next prime is 42815501. The reversal of 42815500 is 551824.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (42815501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45030 + ... + 45970.

It is an arithmetic number, because the mean of its divisors is an integer number (1200108).

Almost surely, 242815500 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 42815500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57605184).

42815500 is an abundant number, since it is smaller than the sum of its proper divisors (72394868).

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

42815500 is a wasteful number, since it uses less digits than its factorization.

42815500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

The square root of 42815500 is about 6543.3554083513. The cubic root of 42815500 is about 349.8380202856.

The spelling of 42815500 in words is "forty-two million, eight hundred fifteen thousand, five hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 125 130 140 175 182 250 260 325 350 364 455 500 650 700 875 910 941 1300 1625 1750 1820 1882 2275 3250 3500 3764 4550 4705 6500 6587 9100 9410 11375 12233 13174 18820 22750 23525 24466 26348 32935 45500 47050 48932 61165 65870 85631 94100 117625 122330 131740 164675 171262 235250 244660 305825 329350 342524 428155 470500 611650 658700 823375 856310 1223300 1529125 1646750 1712620 2140775 3058250 3293500 4281550 6116500 8563100 10703875 21407750 42815500