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478715412 = 2237192910343
BaseRepresentation
bin11100100010001…
…001111000010100
31020100210021002110
4130202021320110
51440022343122
6115300311020
714602004520
oct3442117024
91210707073
10478715412
11226249a7a
121143a2470
1378242076
1447814d80
152c06190c
hex1c889e14

478715412 has 96 divisors (see below), whose sum is σ = 1390233600. Its totient is φ = 125096832.

The previous prime is 478715357. The next prime is 478715417. The reversal of 478715412 is 214517874.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478715417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41113 + ... + 51455.

It is an arithmetic number, because the mean of its divisors is an integer number (14481600).

Almost surely, 2478715412 is an apocalyptic number.

478715412 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 478715412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695116800).

478715412 is an abundant number, since it is smaller than the sum of its proper divisors (911518188).

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

478715412 is a wasteful number, since it uses less digits than its factorization.

478715412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10405 (or 10403 counting only the distinct ones).

The product of its digits is 62720, while the sum is 39.

The square root of 478715412 is about 21879.5660834487. The cubic root of 478715412 is about 782.2744331069.

The spelling of 478715412 in words is "four hundred seventy-eight million, seven hundred fifteen thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 29 38 42 57 58 76 84 87 114 116 133 174 203 228 266 348 399 406 532 551 609 798 812 1102 1218 1596 1653 2204 2436 3306 3857 6612 7714 10343 11571 15428 20686 23142 31029 41372 46284 62058 72401 124116 144802 196517 217203 289604 299947 393034 434406 589551 599894 786068 868812 899841 1179102 1199788 1375619 1799682 2099629 2358204 2751238 3599364 4126857 4199258 5502476 5698993 6298887 8253714 8398516 11397986 12597774 16507428 17096979 22795972 25195548 34193958 39892951 68387916 79785902 119678853 159571804 239357706 478715412