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473531920 = 24537159977
BaseRepresentation
bin11100001110011…
…000011000010000
31020000000220200021
4130032120120100
51432211010140
6114553233224
714506645351
oct3416303020
91200026607
10473531920
112233295a4
12112702814
1377148904
1446c65d28
152b88ab4a
hex1c398610

473531920 has 40 divisors (see below), whose sum is σ = 1130724504. Its totient is φ = 184292352.

The previous prime is 473531911. The next prime is 473531921. The reversal of 473531920 is 29135374.

It can be written as a sum of positive squares in 4 ways, for example, as 19501056 + 454030864 = 4416^2 + 21308^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (473531921) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 77029 + ... + 82948.

Almost surely, 2473531920 is an apocalyptic number.

473531920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

473531920 is an abundant number, since it is smaller than the sum of its proper divisors (657192584).

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

473531920 is a wasteful number, since it uses less digits than its factorization.

473531920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160027 (or 160021 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 34.

The square root of 473531920 is about 21760.7885886518. The cubic root of 473531920 is about 779.4407123695.

The spelling of 473531920 in words is "four hundred seventy-three million, five hundred thirty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 2960 159977 319954 639908 799885 1279816 1599770 2559632 3199540 5919149 6399080 11838298 12798160 23676596 29595745 47353192 59191490 94706384 118382980 236765960 473531920