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475316640 = 25335472341
BaseRepresentation
bin11100010101001…
…100000110100000
31020010101120212000
4130111030012200
51433140113030
6115055404000
714531060541
oct3425140640
91203346760
10475316640
11224338477
12113223600
1377622066
14471ac4c8
152bade860
hex1c54c1a0

475316640 has 192 divisors, whose sum is σ = 1699729920. Its totient is φ = 124001280.

The previous prime is 475316603. The next prime is 475316659. The reversal of 475316640 is 46613574.

It is a happy number.

475316640 is a `hidden beast` number, since 4 + 7 + 5 + 3 + 1 + 6 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 475316595 and 475316604.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 201870 + ... + 204210.

It is an arithmetic number, because the mean of its divisors is an integer number (8852760).

Almost surely, 2475316640 is an apocalyptic number.

475316640 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 475316640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849864960).

475316640 is an abundant number, since it is smaller than the sum of its proper divisors (1224413280).

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

475316640 is a wasteful number, since it uses less digits than its factorization.

475316640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2412 (or 2398 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 475316640 is about 21801.7577273026. The cubic root of 475316640 is about 780.4187101042.

The spelling of 475316640 in words is "four hundred seventy-five million, three hundred sixteen thousand, six hundred forty".