Search a number
-
+
92409431040 = 210335668471
BaseRepresentation
bin101011000010000001…
…0000000010000000000
322211112011122111011000
41112010002000100000
53003223303243130
6110241410452000
76450664126563
oct1260402002000
9284464574130
1092409431040
1136210795313
1215aab894000
138939060814
144688cd44da
15260cb67260
hex1584080400

92409431040 has 176 divisors, whose sum is σ = 328406924160. Its totient is φ = 24642478080.

The previous prime is 92409431003. The next prime is 92409431047. The reversal of 92409431040 is 4013490429.

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

It is a junction number, because it is equal to n+sod(n) for n = 92409430986 and 92409431004.

It is not an unprimeable number, because it can be changed into a prime (92409431047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195996 + ... + 472475.

Almost surely, 292409431040 is an apocalyptic number.

92409431040 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

92409431040 is an abundant number, since it is smaller than the sum of its proper divisors (235997493120).

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

92409431040 is a wasteful number, since it uses less digits than its factorization.

92409431040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668505 (or 668481 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 92409431040 in words is "ninety-two billion, four hundred nine million, four hundred thirty-one thousand, forty".