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475024704 = 263711223127
BaseRepresentation
bin11100010100000…
…100110101000000
31020002211202101120
4130110010311000
51433101242304
6115045232240
714525433450
oct3424046500
91202752346
10475024704
11224159100
12113102680
137754c20b
1447133d60
152ba830d9
hex1c504d40

475024704 has 336 divisors, whose sum is σ = 1660452864. Its totient is φ = 117089280.

The previous prime is 475024703. The next prime is 475024747. The reversal of 475024704 is 407420574.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (475024703) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3740289 + ... + 3740415.

It is an arithmetic number, because the mean of its divisors is an integer number (4941824).

Almost surely, 2475024704 is an apocalyptic number.

475024704 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 475024704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830226432).

475024704 is an abundant number, since it is smaller than the sum of its proper divisors (1185428160).

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

475024704 is a wasteful number, since it uses less digits than its factorization.

475024704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 33.

The square root of 475024704 is about 21795.0614589636. The cubic root of 475024704 is about 780.2589015628.

The spelling of 475024704 in words is "four hundred seventy-five million, twenty-four thousand, seven hundred four".