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478374016 = 27171911151
BaseRepresentation
bin11100100000110…
…110100010000000
31020100010220210011
4130200312202000
51434430432031
6115245114304
714566053301
oct3440664200
91210126704
10478374016
1122603652a
12114258994
1378152863
14477667a8
152bee56b1
hex1c836880

478374016 has 64 divisors (see below), whose sum is σ = 1015234560. Its totient is φ = 223744000.

The previous prime is 478373977. The next prime is 478374041. The reversal of 478374016 is 610473874.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 478374016.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 415041 + ... + 416191.

It is an arithmetic number, because the mean of its divisors is an integer number (15863040).

Almost surely, 2478374016 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 478374016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507617280).

478374016 is an abundant number, since it is smaller than the sum of its proper divisors (536860544).

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

478374016 is a wasteful number, since it uses less digits than its factorization.

478374016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1373 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 40.

The square root of 478374016 is about 21871.7629833537. The cubic root of 478374016 is about 782.0884291564.

The spelling of 478374016 in words is "four hundred seventy-eight million, three hundred seventy-four thousand, sixteen".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 191 272 382 544 764 1088 1151 1528 2176 2302 3056 3247 4604 6112 6494 9208 12224 12988 18416 19567 24448 25976 36832 39134 51952 73664 78268 103904 147328 156536 207808 219841 313072 415616 439682 626144 879364 1252288 1758728 2504576 3517456 3737297 7034912 7474594 14069824 14949188 28139648 29898376 59796752 119593504 239187008 478374016