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541291716 = 223272937331
BaseRepresentation
bin100000010000110…
…111010011000100
31101201112110122100
4200100313103010
52102032313331
6125413432100
716261621650
oct4020672304
91351473570
10541291716
112585aa529
1213133b630
13881b1874
1451c63a60
15327c2ae6
hex204374c4

541291716 has 72 divisors (see below), whose sum is σ = 1569282624. Its totient is φ = 154105920.

The previous prime is 541291693. The next prime is 541291733. The reversal of 541291716 is 617192145.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 70171 + ... + 77501.

It is an arithmetic number, because the mean of its divisors is an integer number (21795592).

Almost surely, 2541291716 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 541291716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784641312).

541291716 is an abundant number, since it is smaller than the sum of its proper divisors (1027990908).

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

541291716 is a wasteful number, since it uses less digits than its factorization.

541291716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7641 (or 7636 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 541291716 is about 23265.6767793245. The cubic root of 541291716 is about 814.9740747270.

The spelling of 541291716 in words is "five hundred forty-one million, two hundred ninety-one thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 293 586 879 1172 1758 2051 2637 3516 4102 5274 6153 7331 8204 10548 12306 14662 18459 21993 24612 29324 36918 43986 51317 65979 73836 87972 102634 131958 153951 205268 263916 307902 461853 615804 923706 1847412 2147983 4295966 6443949 8591932 12887898 15035881 19331847 25775796 30071762 38663694 45107643 60143524 77327388 90215286 135322929 180430572 270645858 541291716