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473696640 = 2733579347
BaseRepresentation
bin11100001111000…
…000100110000000
31020000100021122000
4130033000212000
51432231243030
6115000544000
714511232524
oct3417004600
91200307560
10473696640
1122343132a
12112782000
13771a5891
1446ca9d84
152b8be860
hex1c3c0980

473696640 has 256 divisors, whose sum is σ = 1703808000. Its totient is φ = 124360704.

The previous prime is 473696627. The next prime is 473696677. The reversal of 473696640 is 46696374.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1364947 + ... + 1365293.

It is an arithmetic number, because the mean of its divisors is an integer number (6655500).

Almost surely, 2473696640 is an apocalyptic number.

473696640 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 473696640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851904000).

473696640 is an abundant number, since it is smaller than the sum of its proper divisors (1230111360).

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

473696640 is a wasteful number, since it uses less digits than its factorization.

473696640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 473696640 is about 21764.5730488792. The cubic root of 473696640 is about 779.5310790971.

The spelling of 473696640 in words is "four hundred seventy-three million, six hundred ninety-six thousand, six hundred forty".