Search a number
-
+
42923880 = 23325119233
BaseRepresentation
bin1010001110111…
…1011101101000
32222202202111100
42203233131220
541442031010
64132001400
71030563336
oct243573550
988682440
1042923880
112225838a
1212460260
138b7b65c
1459b4b56
153b7d2c0
hex28ef768

42923880 has 48 divisors (see below), whose sum is σ = 139503780. Its totient is φ = 11446272.

The previous prime is 42923879. The next prime is 42923887. The reversal of 42923880 is 8832924.

It can be written as a sum of positive squares in 2 ways, for example, as 39917124 + 3006756 = 6318^2 + 1734^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (42923887) 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, 59257 + ... + 59976.

Almost surely, 242923880 is an apocalyptic number.

42923880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42923880 is an abundant number, since it is smaller than the sum of its proper divisors (96579900).

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

42923880 is a wasteful number, since it uses less digits than its factorization.

42923880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119250 (or 119243 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 42923880 is about 6551.6318577893. The cubic root of 42923880 is about 350.1329562895.

The spelling of 42923880 in words is "forty-two million, nine hundred twenty-three thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 119233 238466 357699 476932 596165 715398 953864 1073097 1192330 1430796 1788495 2146194 2384660 2861592 3576990 4292388 4769320 5365485 7153980 8584776 10730970 14307960 21461940 42923880