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541272732 = 2237111345061
BaseRepresentation
bin100000010000110…
…010101010011100
31101201111111121020
4200100302222130
52102031211412
6125413204140
716261512420
oct4020625234
91351444536
10541272732
11258597240
12131330650
13881a6030
1451c5ab80
15327bc18c
hex20432a9c

541272732 has 96 divisors (see below), whose sum is σ = 1695773184. Its totient is φ = 129772800.

The previous prime is 541272701. The next prime is 541272751. The reversal of 541272732 is 237272145.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 541272693 and 541272702.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 10519 + ... + 34542.

It is an arithmetic number, because the mean of its divisors is an integer number (17664304).

Almost surely, 2541272732 is an apocalyptic number.

541272732 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

541272732 is an abundant number, since it is smaller than the sum of its proper divisors (1154500452).

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

541272732 is a wasteful number, since it uses less digits than its factorization.

541272732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45099 (or 45097 counting only the distinct ones).

The product of its digits is 23520, while the sum is 33.

The square root of 541272732 is about 23265.2687927735. The cubic root of 541272732 is about 814.9645471173.

The spelling of 541272732 in words is "five hundred forty-one million, two hundred seventy-two thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 7 11 12 13 14 21 22 26 28 33 39 42 44 52 66 77 78 84 91 132 143 154 156 182 231 273 286 308 364 429 462 546 572 858 924 1001 1092 1716 2002 3003 4004 6006 12012 45061 90122 135183 180244 270366 315427 495671 540732 585793 630854 946281 991342 1171586 1261708 1487013 1757379 1892562 1982684 2343172 2974026 3469697 3514758 3785124 4100551 5948052 6443723 6939394 7029516 8201102 10409091 12301653 12887446 13878788 16402204 19331169 20818182 24603306 25774892 38662338 41636364 45106061 49206612 77324676 90212122 135318183 180424244 270636366 541272732