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541916244 = 22353591553
BaseRepresentation
bin100000010011001…
…111110001010100
31101202201012100000
4200103033301110
52102212304434
6125435051300
716300132512
oct4023176124
91352635300
10541916244
11258996771
121315a0b30
138836cbcc
1451d874b2
1532897b99
hex204cfc54

541916244 has 72 divisors (see below), whose sum is σ = 1425453120. Its totient is φ = 180019584.

The previous prime is 541916231. The next prime is 541916267. The reversal of 541916244 is 442619145.

541916244 is a `hidden beast` number, since 541 + 91 + 6 + 24 + 4 = 666.

It is a super-2 number, since 2×5419162442 = 587346431022135072, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 541916199 and 541916208.

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, 348172 + ... + 349724.

It is an arithmetic number, because the mean of its divisors is an integer number (19797960).

Almost surely, 2541916244 is an apocalyptic number.

541916244 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541916244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712726560).

541916244 is an abundant number, since it is smaller than the sum of its proper divisors (883536876).

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

541916244 is a wasteful number, since it uses less digits than its factorization.

541916244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1931 (or 1917 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 541916244 is about 23279.0945700214. The cubic root of 541916244 is about 815.2873860724.

The spelling of 541916244 in words is "five hundred forty-one million, nine hundred sixteen thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 359 486 718 972 1077 1436 1553 2154 3106 3231 4308 4659 6212 6462 9318 9693 12924 13977 18636 19386 27954 29079 38772 41931 55908 58158 83862 87237 116316 125793 167724 174474 251586 348948 377379 503172 557527 754758 1115054 1509516 1672581 2230108 3345162 5017743 6690324 10035486 15053229 20070972 30106458 45159687 60212916 90319374 135479061 180638748 270958122 541916244