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478025142 = 2371719167211
BaseRepresentation
bin11100011111100…
…001010110110110
31020022111012012220
4130133201112312
51434333301032
6115233423210
714563101210
oct3437412666
91208435186
10478025142
11225918401
1211410ab06
137805cb1a
14476b55b0
152be7712c
hex1c7e15b6

478025142 has 128 divisors (see below), whose sum is σ = 1230888960. Its totient is φ = 120476160.

The previous prime is 478025131. The next prime is 478025153. The reversal of 478025142 is 241520874.

It is an interprime number because it is at equal distance from previous prime (478025131) and next prime (478025153).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2265417 + ... + 2265627.

It is an arithmetic number, because the mean of its divisors is an integer number (9616320).

Almost surely, 2478025142 is an apocalyptic number.

478025142 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 478025142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615444480).

478025142 is an abundant number, since it is smaller than the sum of its proper divisors (752863818).

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

478025142 is a wasteful number, since it uses less digits than its factorization.

478025142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426.

The product of its (nonzero) digits is 17920, while the sum is 33.

The square root of 478025142 is about 21863.7860856714. The cubic root of 478025142 is about 781.8982594945.

The spelling of 478025142 in words is "four hundred seventy-eight million, twenty-five thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 14 17 19 21 34 38 42 51 57 102 114 119 133 167 211 238 266 323 334 357 399 422 501 633 646 714 798 969 1002 1169 1266 1477 1938 2261 2338 2839 2954 3173 3507 3587 4009 4431 4522 5678 6346 6783 7014 7174 8018 8517 8862 9519 10761 12027 13566 17034 19038 19873 21522 22211 24054 25109 28063 35237 39746 44422 50218 53941 56126 59619 66633 68153 70474 75327 84189 105711 107882 119238 133266 136306 150654 161823 168378 204459 211422 246659 323646 377587 408918 477071 493318 599029 669503 739977 755174 954142 1132761 1198058 1339006 1431213 1479954 1797087 2008509 2265522 2862426 3594174 4017018 4193203 4686521 8386406 9373042 11381551 12579609 14059563 22763102 25159218 28119126 34144653 68289306 79670857 159341714 239012571 478025142