Search a number
-
+
42763644 = 223271115427
BaseRepresentation
bin1010001100100…
…0010101111100
32222110121200200
42203020111330
541421414034
64124323500
71026325230
oct243102574
988417620
1042763644
1122158a60
12123a3590
138b23741
1459725c0
153b4aa99
hex28c857c

42763644 has 72 divisors (see below), whose sum is σ = 134779008. Its totient is φ = 11106720.

The previous prime is 42763639. The next prime is 42763681. The reversal of 42763644 is 44636724.

42763644 is a `hidden beast` number, since 4 + 2 + 7 + 6 + 3 + 644 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 42763599 and 42763608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4942 + ... + 10485.

Almost surely, 242763644 is an apocalyptic number.

42763644 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42763644 is an abundant number, since it is smaller than the sum of its proper divisors (92015364).

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

42763644 is a wasteful number, since it uses less digits than its factorization.

42763644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15455 (or 15450 counting only the distinct ones).

The product of its digits is 96768, while the sum is 36.

The square root of 42763644 is about 6539.3917148310. The cubic root of 42763644 is about 349.6967277691.

Subtracting 42763644 from its reverse (44636724), we obtain a triangular number (1873080 = T1935).

The spelling of 42763644 in words is "forty-two million, seven hundred sixty-three thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 2772 15427 30854 46281 61708 92562 107989 138843 169697 185124 215978 277686 323967 339394 431956 509091 555372 647934 678788 971901 1018182 1187879 1295868 1527273 1943802 2036364 2375758 3054546 3563637 3887604 4751516 6109092 7127274 10690911 14254548 21381822 42763644