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472878864 = 24335918553
BaseRepresentation
bin11100001011111…
…000111100010000
31012221210201212000
4130023320330100
51432024110424
6114531234000
714501255403
oct3413707420
91187721760
10472878864
11222a22987
12112448900
1376c7a5a3
1446b35d3a
152b7ac3c9
hex1c2f8f10

472878864 has 80 divisors (see below), whose sum is σ = 1380417600. Its totient is φ = 154946304.

The previous prime is 472878841. The next prime is 472878881. The reversal of 472878864 is 468878274.

It is a happy number.

It is a super-2 number, since 2×4728788642 = 447228840035860992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 472878864.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16212 + ... + 34764.

It is an arithmetic number, because the mean of its divisors is an integer number (17255220).

Almost surely, 2472878864 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 472878864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690208800).

472878864 is an abundant number, since it is smaller than the sum of its proper divisors (907538736).

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

472878864 is a wasteful number, since it uses less digits than its factorization.

472878864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18629 (or 18617 counting only the distinct ones).

The product of its digits is 4816896, while the sum is 54.

The square root of 472878864 is about 21745.7780729961. The cubic root of 472878864 is about 779.0822341687.

The spelling of 472878864 in words is "four hundred seventy-two million, eight hundred seventy-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 59 72 108 118 144 177 216 236 354 432 472 531 708 944 1062 1416 1593 2124 2832 3186 4248 6372 8496 12744 18553 25488 37106 55659 74212 111318 148424 166977 222636 296848 333954 445272 500931 667908 890544 1001862 1094627 1335816 2003724 2189254 2671632 3283881 4007448 4378508 6567762 8014896 8757016 9851643 13135524 17514032 19703286 26271048 29554929 39406572 52542096 59109858 78813144 118219716 157626288 236439432 472878864