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544104216 = 23351914731
BaseRepresentation
bin100000011011100…
…101111100011000
31101220211100200000
4200123211330120
52103242313331
6125554013000
716324544445
oct4033457430
91356740600
10544104216
1125a150607
12132277160
1388957a76
14523969cc
1532b7b0e6
hex206e5f18

544104216 has 96 divisors (see below), whose sum is σ = 1608734400. Its totient is φ = 171810720.

The previous prime is 544104181. The next prime is 544104217. The reversal of 544104216 is 612401445.

544104216 is a `hidden beast` number, since 5 + 441 + 0 + 4 + 216 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 544104216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (544104217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29571 + ... + 44301.

It is an arithmetic number, because the mean of its divisors is an integer number (16757650).

Almost surely, 2544104216 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 544104216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804367200).

544104216 is an abundant number, since it is smaller than the sum of its proper divisors (1064630184).

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

544104216 is a wasteful number, since it uses less digits than its factorization.

544104216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14771 (or 14755 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 544104216 is about 23326.0415844609. The cubic root of 544104216 is about 816.3831461932.

The spelling of 544104216 in words is "five hundred forty-four million, one hundred four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 81 108 114 152 162 171 216 228 243 324 342 456 486 513 648 684 972 1026 1368 1539 1944 2052 3078 4104 4617 6156 9234 12312 14731 18468 29462 36936 44193 58924 88386 117848 132579 176772 265158 279889 353544 397737 530316 559778 795474 839667 1060632 1119556 1193211 1590948 1679334 2239112 2386422 2519001 3181896 3358668 3579633 4772844 5038002 6717336 7159266 7557003 9545688 10076004 14318532 15114006 20152008 22671009 28637064 30228012 45342018 60456024 68013027 90684036 136026054 181368072 272052108 544104216