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478487142 = 23371996361
BaseRepresentation
bin11100100001010…
…010001001100110
31020100100122222000
4130201102021212
51434443042032
6115251350130
714600034150
oct3441221146
91210318860
10478487142
11226103521
121142b2346
13781921b3
1447795ad0
152c018e7c
hex1c852266

478487142 has 64 divisors (see below), whose sum is σ = 1221504000. Its totient is φ = 136002240.

The previous prime is 478487137. The next prime is 478487161. The reversal of 478487142 is 241784874.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72042 + ... + 78402.

It is an arithmetic number, because the mean of its divisors is an integer number (19086000).

Almost surely, 2478487142 is an apocalyptic number.

478487142 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 478487142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610752000).

478487142 is an abundant number, since it is smaller than the sum of its proper divisors (743016858).

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

478487142 is a wasteful number, since it uses less digits than its factorization.

478487142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6578 (or 6572 counting only the distinct ones).

The product of its digits is 401408, while the sum is 45.

The square root of 478487142 is about 21874.3489503116. The cubic root of 478487142 is about 782.1500737827.

The spelling of 478487142 in words is "four hundred seventy-eight million, four hundred eighty-seven thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 199 378 398 597 1194 1393 1791 2786 3582 4179 5373 6361 8358 10746 12537 12722 19083 25074 37611 38166 44527 57249 75222 89054 114498 133581 171747 267162 343494 400743 801486 1202229 1265839 2404458 2531678 3797517 7595034 8860873 11392551 17721746 22785102 26582619 34177653 53165238 68355306 79747857 159495714 239243571 478487142