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541474648 = 2311132231583
BaseRepresentation
bin100000010001100…
…011111101011000
31101201212202120121
4200101203331120
52102104142043
6125421403024
716263313201
oct4021437530
91351782517
10541474648
11258714a10
12131409474
1388246c00
1451cb05a8
153280bded
hex20463f58

541474648 has 96 divisors (see below), whose sum is σ = 1252247040. Its totient is φ = 217176960.

The previous prime is 541474601. The next prime is 541474651. The reversal of 541474648 is 846474145.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 341265 + ... + 342847.

It is an arithmetic number, because the mean of its divisors is an integer number (13044240).

Almost surely, 2541474648 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 541474648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626123520).

541474648 is an abundant number, since it is smaller than the sum of its proper divisors (710772392).

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

541474648 is a wasteful number, since it uses less digits than its factorization.

541474648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1649 (or 1632 counting only the distinct ones).

The product of its digits is 430080, while the sum is 43.

The square root of 541474648 is about 23269.6078179242. The cubic root of 541474648 is about 815.0658724531.

The spelling of 541474648 in words is "five hundred forty-one million, four hundred seventy-four thousand, six hundred forty-eight".

Divisors: 1 2 4 8 11 13 22 23 26 44 46 52 88 92 104 143 169 184 253 286 299 338 506 572 598 676 1012 1144 1196 1352 1583 1859 2024 2392 3166 3289 3718 3887 6332 6578 7436 7774 12664 13156 14872 15548 17413 20579 26312 31096 34826 36409 41158 42757 69652 72818 82316 85514 139304 145636 164632 171028 226369 267527 291272 342056 400499 452738 473317 535054 800998 905476 946634 1070108 1601996 1810952 1893268 2140216 2942797 3203992 3786536 5206487 5885594 6153121 10412974 11771188 12306242 20825948 23542376 24612484 41651896 49224968 67684331 135368662 270737324 541474648