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541994952 = 233171936883
BaseRepresentation
bin100000010011100…
…010111111001000
31101202212012022010
4200103202333020
52102222314302
6125440455520
716300611132
oct4023427710
91352765263
10541994952
11258a3a914
1213161a5a0
1388399995
1451da8052
15328b116c
hex204e2fc8

541994952 has 64 divisors (see below), whose sum is σ = 1442335680. Its totient is φ = 169132032.

The previous prime is 541994951. The next prime is 541994953. The reversal of 541994952 is 259499145.

It is an interprime number because it is at equal distance from previous prime (541994951) and next prime (541994953).

It is not an unprimeable number, because it can be changed into a prime (541994951) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 75303 + ... + 82185.

It is an arithmetic number, because the mean of its divisors is an integer number (22536495).

Almost surely, 2541994952 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 541994952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721167840).

541994952 is an abundant number, since it is smaller than the sum of its proper divisors (900340728).

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

541994952 is a wasteful number, since it uses less digits than its factorization.

541994952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7102 (or 7098 counting only the distinct ones).

The product of its digits is 583200, while the sum is 48.

The square root of 541994952 is about 23280.7850383100. The cubic root of 541994952 is about 815.3268549841.

The spelling of 541994952 in words is "five hundred forty-one million, nine hundred ninety-four thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 193 204 386 408 579 772 1158 1544 2316 3281 4632 6562 6883 9843 13124 13766 19686 20649 26248 27532 39372 41298 55064 78744 82596 117011 165192 234022 351033 468044 702066 936088 1328419 1404132 2656838 2808264 3985257 5313676 7970514 10627352 15941028 22583123 31882056 45166246 67749369 90332492 135498738 180664984 270997476 541994952