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541541616 = 243711146521
BaseRepresentation
bin100000010001110…
…100010011110000
31101202000011102220
4200101310103300
52102113312431
6125423041040
716264012350
oct4021642360
91352004386
10541541616
11258760260
12131440180
138826b535
1451ccab60
1532821b96
hex204744f0

541541616 has 80 divisors (see below), whose sum is σ = 1744197888. Its totient is φ = 140659200.

The previous prime is 541541597. The next prime is 541541617. The reversal of 541541616 is 616145145.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541541617) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 69565 + ... + 76956.

Almost surely, 2541541616 is an apocalyptic number.

541541616 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

541541616 is an abundant number, since it is smaller than the sum of its proper divisors (1202656272).

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

541541616 is a wasteful number, since it uses less digits than its factorization.

541541616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146550 (or 146544 counting only the distinct ones).

The product of its digits is 14400, while the sum is 33.

The square root of 541541616 is about 23271.0467319371. The cubic root of 541541616 is about 815.0994727219.

The spelling of 541541616 in words is "five hundred forty-one million, five hundred forty-one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1232 1848 3696 146521 293042 439563 586084 879126 1025647 1172168 1611731 1758252 2051294 2344336 3076941 3223462 3516504 4102588 4835193 6153882 6446924 7033008 8205176 9670386 11282117 12307764 12893848 16410352 19340772 22564234 24615528 25787696 33846351 38681544 45128468 49231056 67692702 77363088 90256936 135385404 180513872 270770808 541541616