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541164232 = 237219113643
BaseRepresentation
bin100000010000011…
…000001011001000
31101201021222202201
4200100120023020
52102014223412
6125411005544
716260551200
oct4020301310
91351258681
10541164232
11258522774
121312998b4
138816882b
1451c2d400
1532799e57
hex204182c8

541164232 has 96 divisors (see below), whose sum is σ = 1255413600. Its totient is φ = 217437696.

The previous prime is 541164227. The next prime is 541164259. The reversal of 541164232 is 232461145.

It is a super-2 number, since 2×5411642322 = 585717451992299648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 541164232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 841303 + ... + 841945.

It is an arithmetic number, because the mean of its divisors is an integer number (13077225).

Almost surely, 2541164232 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 541164232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627706800).

541164232 is an abundant number, since it is smaller than the sum of its proper divisors (714249368).

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

541164232 is a wasteful number, since it uses less digits than its factorization.

541164232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 784 counting only the distinct ones).

The product of its digits is 5760, while the sum is 28.

The square root of 541164232 is about 23262.9368739203. The cubic root of 541164232 is about 814.9100893199.

The spelling of 541164232 in words is "five hundred forty-one million, one hundred sixty-four thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 19 28 38 49 56 76 98 113 133 152 196 226 266 392 452 532 643 791 904 931 1064 1286 1582 1862 2147 2572 3164 3724 4294 4501 5144 5537 6328 7448 8588 9002 11074 12217 15029 17176 18004 22148 24434 30058 31507 36008 44296 48868 60116 63014 72659 85519 97736 105203 120232 126028 145318 171038 210406 252056 290636 342076 420812 508613 581272 598633 684152 841624 1017226 1197266 1380521 2034452 2394532 2761042 3560291 4068904 4789064 5522084 7120582 9663647 11044168 14241164 19327294 28482328 38654588 67645529 77309176 135291058 270582116 541164232