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541538984 = 237210712911
BaseRepresentation
bin100000010001110…
…011101010101000
31101202000000211102
4200101303222220
52102113221414
6125423020532
716264001600
oct4021635250
91352000742
10541538984
11258759288
1213143a748
138826a28c
1451cc9c00
1532820ede
hex20473aa8

541538984 has 48 divisors (see below), whose sum is σ = 1192294080. Its totient is φ = 229901280.

The previous prime is 541538981. The next prime is 541539017. The reversal of 541538984 is 489835145.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (541538981) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35489 + ... + 48399.

It is an arithmetic number, because the mean of its divisors is an integer number (24839460).

Almost surely, 2541538984 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 541538984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596147040).

541538984 is an abundant number, since it is smaller than the sum of its proper divisors (650755096).

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

541538984 is a wasteful number, since it uses less digits than its factorization.

541538984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13038 (or 13027 counting only the distinct ones).

The product of its digits is 691200, while the sum is 47.

The square root of 541538984 is about 23270.9901809098. The cubic root of 541538984 is about 815.0981522046.

The spelling of 541538984 in words is "five hundred forty-one million, five hundred thirty-eight thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 107 196 214 392 428 749 856 1498 2996 5243 5992 10486 12911 20972 25822 41944 51644 90377 103288 180754 361508 632639 723016 1265278 1381477 2530556 2762954 5061112 5525908 9670339 11051816 19340678 38681356 67692373 77362712 135384746 270769492 541538984