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475950852 = 2232132294441
BaseRepresentation
bin11100010111100…
…110111100000100
31020011120210211100
4130113212330010
51433320411402
6115121140100
714536341546
oct3427467404
91204523740
10475950852
11224730a13
1211348a630
13777b4930
14472d5696
152bbb771c
hex1c5e6f04

475950852 has 72 divisors (see below), whose sum is σ = 1301594840. Its totient is φ = 145774080.

The previous prime is 475950847. The next prime is 475950859. The reversal of 475950852 is 258059574.

475950852 is a `hidden beast` number, since 4 + 7 + 595 + 0 + 8 + 52 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 72182016 + 403768836 = 8496^2 + 20094^2 .

It is a junction number, because it is equal to n+sod(n) for n = 475950798 and 475950807.

It is not an unprimeable number, because it can be changed into a prime (475950859) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104952 + ... + 109392.

Almost surely, 2475950852 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 475950852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650797420).

475950852 is an abundant number, since it is smaller than the sum of its proper divisors (825643988).

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

475950852 is a wasteful number, since it uses less digits than its factorization.

475950852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4693 (or 4688 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The square root of 475950852 is about 21816.2978527522. The cubic root of 475950852 is about 780.7656584299.

It can be divided in two parts, 4759 and 50852, that added together give a triangular number (55611 = T333).

The spelling of 475950852 in words is "four hundred seventy-five million, nine hundred fifty thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 229 234 458 468 687 916 1374 2061 2748 2977 4122 4441 5954 8244 8882 8931 11908 13323 17764 17862 26646 26793 35724 39969 53292 53586 57733 79938 107172 115466 159876 173199 230932 346398 519597 692796 1016989 1039194 2033978 2078388 3050967 4067956 6101934 9152901 12203868 13220857 18305802 26441714 36611604 39662571 52883428 79325142 118987713 158650284 237975426 475950852