Base | Representation |
---|---|
bin | 1011000011100… |
… | …01100111000000 |
3 | 20110111200102000 |
4 | 11201301213000 |
5 | 142220140112 |
6 | 13111424000 |
7 | 2204164050 |
oct | 541614700 |
9 | 213450360 |
10 | 92740032 |
11 | 48392a60 |
12 | 27085000 |
13 | 162a1178 |
14 | c461560 |
15 | 821d7dc |
hex | 58719c0 |
92740032 has 448 divisors, whose sum is σ = 368686080. Its totient is φ = 22118400.
The previous prime is 92740031. The next prime is 92740061. The reversal of 92740032 is 23004729.
It is a tau number, because it is divible by the number of its divisors (448).
It is a super-2 number, since 2×927400322 = 17201427070722048, which contains 22 as substring.
It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 92739978 and 92740005.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (92740031) 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 63 ways as a sum of consecutive naturals, for example, 2261932 + ... + 2261972.
It is an arithmetic number, because the mean of its divisors is an integer number (822960).
Almost surely, 292740032 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 92740032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184343040).
92740032 is an abundant number, since it is smaller than the sum of its proper divisors (275946048).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
92740032 is a wasteful number, since it uses less digits than its factorization.
92740032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 97 (or 81 counting only the distinct ones).
The product of its (nonzero) digits is 3024, while the sum is 27.
The square root of 92740032 is about 9630.1626154494. The cubic root of 92740032 is about 452.6429360315.
The spelling of 92740032 in words is "ninety-two million, seven hundred forty thousand, thirty-two".
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