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473933952 = 27322331577
BaseRepresentation
bin11100001111111…
…010100010000000
31020000210100011100
4130033322202000
51432311341302
6115010014400
714513241432
oct3417724200
91200710140
10473933952
11223583658
12112877400
13772598bb
1446d2c652
152b919d1c
hex1c3fa880

473933952 has 192 divisors, whose sum is σ = 1471541760. Its totient is φ = 145981440.

The previous prime is 473933951. The next prime is 473933953. The reversal of 473933952 is 259339374.

473933952 is a `hidden beast` number, since 473 + 93 + 3 + 95 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (473933951) and next prime (473933953).

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×4739339522 = 449226781716676608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 473933898 and 473933907.

It is not an unprimeable number, because it can be changed into a prime (473933951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 821088 + ... + 821664.

It is an arithmetic number, because the mean of its divisors is an integer number (7664280).

Almost surely, 2473933952 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 473933952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735770880).

473933952 is an abundant number, since it is smaller than the sum of its proper divisors (997607808).

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

473933952 is a wasteful number, since it uses less digits than its factorization.

473933952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 636 counting only the distinct ones).

The product of its digits is 612360, while the sum is 45.

The square root of 473933952 is about 21770.0241616770. The cubic root of 473933952 is about 779.6612335602.

The spelling of 473933952 in words is "four hundred seventy-three million, nine hundred thirty-three thousand, nine hundred fifty-two".