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510744042 = 23416691889
BaseRepresentation
bin11110011100010…
…101010111101010
31022121001111010000
4132130111113222
52021222302132
6122403003430
715441152454
oct3634252752
91277044100
10510744042
11242335616
12123069576
1381a77513
144bb912d4
152ec8b87c
hex1e7155ea

510744042 has 40 divisors (see below), whose sum is σ = 1145736900. Its totient is φ = 170055936.

The previous prime is 510744007. The next prime is 510744053. The reversal of 510744042 is 240447015.

510744042 is a `hidden beast` number, since 510 + 74 + 40 + 42 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 510714801 + 29241 = 22599^2 + 171^2 .

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 = 510743997 and 510744015.

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 19 ways as a sum of consecutive naturals, for example, 269434 + ... + 271322.

Almost surely, 2510744042 is an apocalyptic number.

510744042 is an abundant number, since it is smaller than the sum of its proper divisors (634992858).

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

510744042 is a wasteful number, since it uses less digits than its factorization.

510744042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3572 (or 3563 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 510744042 is about 22599.6469441449. The cubic root of 510744042 is about 799.3453195964.

The spelling of 510744042 in words is "five hundred ten million, seven hundred forty-four thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 1669 1889 3338 3778 5007 5667 10014 11334 15021 17001 30042 34002 45063 51003 90126 102006 135189 153009 270378 306018 3152741 6305482 9458223 18916446 28374669 56749338 85124007 170248014 255372021 510744042