Search a number
-
+
475856964 = 2233111812213
BaseRepresentation
bin11100010111010…
…000000001000100
31020011102001001000
4130113100001010
51433304410324
6115115133300
714535501042
oct3427200104
91204361030
10475856964
11224677420
12113444230
1377780c8b
14472ad392
152bb999c9
hex1c5d0044

475856964 has 96 divisors (see below), whose sum is σ = 1353905280. Its totient is φ = 143337600.

The previous prime is 475856951. The next prime is 475856977. The reversal of 475856964 is 469658574.

475856964 is a `hidden beast` number, since 4 + 75 + 8 + 569 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (475856951) and next prime (475856977).

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 475856964.

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, 213922 + ... + 216134.

It is an arithmetic number, because the mean of its divisors is an integer number (14103180).

Almost surely, 2475856964 is an apocalyptic number.

475856964 is a gapful number since it is divisible by the number (44) 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 475856964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676952640).

475856964 is an abundant number, since it is smaller than the sum of its proper divisors (878048316).

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

475856964 is a wasteful number, since it uses less digits than its factorization.

475856964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2418 (or 2410 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The square root of 475856964 is about 21814.1459608209. The cubic root of 475856964 is about 780.7143160511.

The spelling of 475856964 in words is "four hundred seventy-five million, eight hundred fifty-six thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 181 198 297 362 396 543 594 724 1086 1188 1629 1991 2172 2213 3258 3982 4426 4887 5973 6516 6639 7964 8852 9774 11946 13278 17919 19548 19917 23892 24343 26556 35838 39834 48686 53757 59751 71676 73029 79668 97372 107514 119502 146058 215028 219087 239004 292116 400553 438174 657261 801106 876348 1201659 1314522 1602212 2403318 2629044 3604977 4406083 4806636 7209954 8812166 10814931 13218249 14419908 17624332 21629862 26436498 39654747 43259724 52872996 79309494 118964241 158618988 237928482 475856964