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541535500 = 22531128951
BaseRepresentation
bin100000010001110…
…010110100001100
31101201222212001101
4200101302310030
52102113114000
6125422552444
716263655462
oct4021626414
91351885041
10541535500
11258756700
12131438724
138826880c
1451cc8832
153281ee6a
hex20472d0c

541535500 has 72 divisors (see below), whose sum is σ = 1300152672. Its totient is φ = 196900000.

The previous prime is 541535479. The next prime is 541535537. The reversal of 541535500 is 5535145.

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, 56025 + ... + 64975.

It is an arithmetic number, because the mean of its divisors is an integer number (18057676).

Almost surely, 2541535500 is an apocalyptic number.

541535500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541535500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650076336).

541535500 is an abundant number, since it is smaller than the sum of its proper divisors (758617172).

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

541535500 is a wasteful number, since it uses less digits than its factorization.

541535500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8992 (or 8969 counting only the distinct ones).

The product of its (nonzero) digits is 7500, while the sum is 28.

The square root of 541535500 is about 23270.9153236395. The cubic root of 541535500 is about 815.0964042184.

The spelling of 541535500 in words is "five hundred forty-one million, five hundred thirty-five thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 125 220 242 250 275 484 500 550 605 1100 1210 1375 2420 2750 3025 5500 6050 8951 12100 15125 17902 30250 35804 44755 60500 89510 98461 179020 196922 223775 393844 447550 492305 895100 984610 1083071 1118875 1969220 2166142 2237750 2461525 4332284 4475500 4923050 5415355 9846100 10830710 12307625 21661420 24615250 27076775 49230500 54153550 108307100 135383875 270767750 541535500