Search a number
-
+
42699680 = 2551032591
BaseRepresentation
bin1010001011100…
…0101110100000
32222100100221122
42202320232200
541412342210
64123111412
71025640602
oct242705640
988310848
1042699680
11221149a1
1212372568
138b005aa
145957172
153b36b55
hex28b8ba0

42699680 has 48 divisors (see below), whose sum is σ = 101896704. Its totient is φ = 16907520.

The previous prime is 42699677. The next prime is 42699689. The reversal of 42699680 is 8699624.

It is not an unprimeable number, because it can be changed into a prime (42699689) 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, 15185 + ... + 17775.

It is an arithmetic number, because the mean of its divisors is an integer number (2122848).

Almost surely, 242699680 is an apocalyptic number.

42699680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42699680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50948352).

42699680 is an abundant number, since it is smaller than the sum of its proper divisors (59197024).

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

42699680 is a wasteful number, since it uses less digits than its factorization.

42699680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2709 (or 2701 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 44.

The square root of 42699680 is about 6534.4992157012. The cubic root of 42699680 is about 349.5222870445.

The spelling of 42699680 in words is "forty-two million, six hundred ninety-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 103 160 206 412 515 824 1030 1648 2060 2591 3296 4120 5182 8240 10364 12955 16480 20728 25910 41456 51820 82912 103640 207280 266873 414560 533746 1067492 1334365 2134984 2668730 4269968 5337460 8539936 10674920 21349840 42699680