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475908048 = 243471119251
BaseRepresentation
bin11100010111011…
…100011111010000
31020011111122010000
4130113130133100
51433313024143
6115120210000
714536103010
oct3427343720
91204448100
10475908048
11224701840
12113469900
137779b2c5
14472c3c40
152bba9bd3
hex1c5dc7d0

475908048 has 400 divisors, whose sum is σ = 1814883840. Its totient is φ = 116640000.

The previous prime is 475908011. The next prime is 475908079. The reversal of 475908048 is 840809574.

It is a junction number, because it is equal to n+sod(n) for n = 475907994 and 475908012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1895923 + ... + 1896173.

Almost surely, 2475908048 is an apocalyptic number.

475908048 is a gapful number since it is divisible by the number (48) 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 475908048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907441920).

475908048 is an abundant number, since it is smaller than the sum of its proper divisors (1338975792).

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

475908048 is a wasteful number, since it uses less digits than its factorization.

475908048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 475908048 is about 21815.3168209861. The cubic root of 475908048 is about 780.7422520250.

It can be divided in two parts, 47 and 5908048, that added together give a palindrome (5908095).

The spelling of 475908048 in words is "four hundred seventy-five million, nine hundred eight thousand, forty-eight".