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40258530 = 232513191811
BaseRepresentation
bin1001100110010…
…0101111100010
32210202100022200
42121210233202
540301233110
63554514030
7666122544
oct231445742
983670280
1040258530
11207a7914
1211595916
138457420
1454bd694
1538036c0
hex2664be2

40258530 has 96 divisors (see below), whose sum is σ = 118722240. Its totient is φ = 9383040.

The previous prime is 40258529. The next prime is 40258531. The reversal of 40258530 is 3585204.

40258530 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40258529) and next prime (40258531).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 40258494 and 40258503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40258531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21325 + ... + 23135.

It is an arithmetic number, because the mean of its divisors is an integer number (1236690).

Almost surely, 240258530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40258530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59361120).

40258530 is an abundant number, since it is smaller than the sum of its proper divisors (78463710).

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

40258530 is a wasteful number, since it uses less digits than its factorization.

40258530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1856 (or 1853 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 40258530 is about 6344.9609927879. The cubic root of 40258530 is about 342.7304077720.

The spelling of 40258530 in words is "forty million, two hundred fifty-eight thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 19 26 30 38 39 45 57 65 78 90 95 114 117 130 171 190 195 234 247 285 342 390 494 570 585 741 855 1170 1235 1482 1710 1811 2223 2470 3622 3705 4446 5433 7410 9055 10866 11115 16299 18110 22230 23543 27165 32598 34409 47086 54330 68818 70629 81495 103227 117715 141258 162990 172045 206454 211887 235430 309681 344090 353145 423774 447317 516135 619362 706290 894634 1032270 1059435 1341951 1548405 2118870 2236585 2683902 3096810 4025853 4473170 6709755 8051706 13419510 20129265 40258530