Search a number
-
+
475017400 = 2352111317977
BaseRepresentation
bin11100010100000…
…011000010111000
31020002211101101001
4130110003002320
51433101024100
6115045134344
714525403244
oct3424030270
91202741331
10475017400
11224153670
121130ba3b4
1377548ab0
1447131424
152ba80d6a
hex1c5030b8

475017400 has 192 divisors, whose sum is σ = 1375224480. Its totient is φ = 149913600.

The previous prime is 475017379. The next prime is 475017407. The reversal of 475017400 is 4710574.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (475017407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 485712 + ... + 486688.

Almost surely, 2475017400 is an apocalyptic number.

475017400 is a gapful number since it is divisible by the number (40) 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 475017400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687612240).

475017400 is an abundant number, since it is smaller than the sum of its proper divisors (900207080).

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

475017400 is a wasteful number, since it uses less digits than its factorization.

475017400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 28.

The square root of 475017400 is about 21794.8938974247. The cubic root of 475017400 is about 780.2549024443.

Adding to 475017400 its reverse (4710574), we get a palindrome (479727974).

The spelling of 475017400 in words is "four hundred seventy-five million, seventeen thousand, four hundred".