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492023752 = 23112717159
BaseRepresentation
bin11101010100111…
…010111111001000
31021021211101200221
4131110322333020
52001424230002
6120453435424
715123063403
oct3524727710
91237741627
10492023752
11232809800
1211893bb74
137ac2171c
14494bad3a
152d2dec37
hex1d53afc8

492023752 has 48 divisors (see below), whose sum is σ = 1028462400. Its totient is φ = 220466400.

The previous prime is 492023731. The next prime is 492023761. The reversal of 492023752 is 257320294.

It is a happy number.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65149 + ... + 72307.

It is an arithmetic number, because the mean of its divisors is an integer number (21426300).

Almost surely, 2492023752 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 492023752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514231200).

492023752 is an abundant number, since it is smaller than the sum of its proper divisors (536438648).

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

492023752 is a wasteful number, since it uses less digits than its factorization.

492023752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7258 (or 7243 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 492023752 is about 22181.6084177861. The cubic root of 492023752 is about 789.4573809474.

The spelling of 492023752 in words is "four hundred ninety-two million, twenty-three thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 11 22 44 71 88 121 142 242 284 484 568 781 968 1562 3124 6248 7159 8591 14318 17182 28636 34364 57272 68728 78749 157498 314996 508289 629992 866239 1016578 1732478 2033156 3464956 4066312 5591179 6929912 11182358 22364716 44729432 61502969 123005938 246011876 492023752