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479052054 = 2321319253107
BaseRepresentation
bin11100100011011…
…100000100010110
31020101102100212200
4130203130010112
51440114131204
6115311425330
714604606135
oct3443340426
91211370780
10479052054
11226459998
12114525246
137832c370
14478a191c
152c0cb539
hex1c8dc116

479052054 has 144 divisors (see below), whose sum is σ = 1213207632. Its totient is φ = 135727488.

The previous prime is 479052053. The next prime is 479052071. The reversal of 479052054 is 450250974.

479052054 is a `hidden beast` number, since 47 + 90 + 520 + 5 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (479052053) 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 71 ways as a sum of consecutive naturals, for example, 4477069 + ... + 4477175.

It is an arithmetic number, because the mean of its divisors is an integer number (8425053).

Almost surely, 2479052054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 479052054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606603816).

479052054 is an abundant number, since it is smaller than the sum of its proper divisors (734155578).

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

479052054 is a wasteful number, since it uses less digits than its factorization.

479052054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 479052054 is about 21887.2577999164. The cubic root of 479052054 is about 782.4577603455.

The spelling of 479052054 in words is "four hundred seventy-nine million, fifty-two thousand, fifty-four".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 53 57 78 106 107 114 117 159 171 214 234 247 318 321 342 361 477 494 642 689 722 741 954 963 1007 1083 1378 1391 1482 1926 2014 2033 2067 2166 2223 2782 3021 3249 4066 4134 4173 4446 4693 5671 6042 6099 6201 6498 8346 9063 9386 11342 12198 12402 12519 13091 14079 17013 18126 18297 19133 25038 26182 26429 28158 34026 36594 38266 38627 39273 42237 51039 52858 57399 73723 77254 78546 79287 84474 102078 107749 114798 115881 117819 147446 158574 172197 215498 221169 231762 235638 237861 248729 323247 344394 347643 442338 475722 497458 502151 646494 663507 695286 746187 969741 1004302 1327014 1400737 1492374 1506453 1939482 2047231 2238561 2801474 3012906 4094462 4202211 4477122 4519359 6141693 8404422 9038718 12283386 12606633 18425079 25213266 26614003 36850158 53228006 79842009 159684018 239526027 479052054