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540404502 = 231129331853
BaseRepresentation
bin100000001101011…
…110101100010110
31101122212101121120
4200031132230112
52101320421002
6125342424410
716251235221
oct4015365426
91348771546
10540404502
112580539a0
12130b92106
1387c60aa1
1451ab25b8
1532699cbc
hex2035eb16

540404502 has 64 divisors (see below), whose sum is σ = 1224840960. Its totient is φ = 157449600.

The previous prime is 540404497. The next prime is 540404509. The reversal of 540404502 is 205404045.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540404509) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 633108 + ... + 633960.

It is an arithmetic number, because the mean of its divisors is an integer number (19138140).

Almost surely, 2540404502 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540404502, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612420480).

540404502 is an abundant number, since it is smaller than the sum of its proper divisors (684436458).

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

540404502 is a wasteful number, since it uses less digits than its factorization.

540404502 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1229.

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 540404502 is about 23246.6019452306. The cubic root of 540404502 is about 814.5285652210.

Adding to 540404502 its reverse (205404045), we get a palindrome (745808547).

The spelling of 540404502 in words is "five hundred forty million, four hundred four thousand, five hundred two".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 174 319 331 638 662 853 957 993 1706 1914 1986 2559 3641 5118 7282 9383 9599 10923 18766 19198 21846 24737 28149 28797 49474 56298 57594 74211 105589 148422 211178 272107 282343 316767 544214 564686 633534 816321 847029 1632642 1694058 3105773 6211546 8187947 9317319 16375894 18634638 24563841 49127682 90067417 180134834 270202251 540404502