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473694048 = 25333971381
BaseRepresentation
bin11100001110111…
…111111101100000
31020000100011002000
4130032333331200
51432231202143
6115000524000
714511222132
oct3416777540
91200304060
10473694048
1122342a393
12112780600
13771a4649
1446ca9052
152b8bdbd3
hex1c3bff60

473694048 has 96 divisors (see below), whose sum is σ = 1386090720. Its totient is φ = 157386240.

The previous prime is 473694047. The next prime is 473694061. The reversal of 473694048 is 840496374.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×4736940482 = 448772102221252608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 473693994 and 473694012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (473694047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 342318 + ... + 343698.

It is an arithmetic number, because the mean of its divisors is an integer number (14438445).

Almost surely, 2473694048 is an apocalyptic number.

473694048 is a gapful number since it is divisible by the number (48) 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 473694048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693045360).

473694048 is an abundant number, since it is smaller than the sum of its proper divisors (912396672).

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

473694048 is a wasteful number, since it uses less digits than its factorization.

473694048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1797 (or 1783 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 473694048 is about 21764.5135024884. The cubic root of 473694048 is about 779.5296572671.

The spelling of 473694048 in words is "four hundred seventy-three million, six hundred ninety-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 397 432 794 864 1191 1381 1588 2382 2762 3176 3573 4143 4764 5524 6352 7146 8286 9528 10719 11048 12429 12704 14292 16572 19056 21438 22096 24858 28584 33144 37287 38112 42876 44192 49716 57168 66288 74574 85752 99432 114336 132576 149148 171504 198864 298296 343008 397728 548257 596592 1096514 1193184 1644771 2193028 3289542 4386056 4934313 6579084 8772112 9868626 13158168 14802939 17544224 19737252 26316336 29605878 39474504 52632672 59211756 78949008 118423512 157898016 236847024 473694048