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474578944 = 21572069
BaseRepresentation
bin11100010010011…
…000000000000000
31020002000002220221
4130102120000000
51432443011234
6115031512424
714521566040
oct3422300000
91202002827
10474578944
11223984204
12112b28714
1377424358
1447059720
152b9e5eb4
hex1c498000

474578944 has 64 divisors (see below), whose sum is σ = 1085259600. Its totient is φ = 203292672.

The previous prime is 474578927. The next prime is 474578959. The reversal of 474578944 is 449875474.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 474578891 and 474578900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 228342 + ... + 230410.

Almost surely, 2474578944 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 474578944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542629800).

474578944 is an abundant number, since it is smaller than the sum of its proper divisors (610680656).

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

474578944 is an frugal number, since it uses more digits than its factorization.

474578944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2106 (or 2078 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 52.

The square root of 474578944 is about 21784.8328889620. The cubic root of 474578944 is about 780.0147619385.

The spelling of 474578944 in words is "four hundred seventy-four million, five hundred seventy-eight thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1792 2048 2069 3584 4096 4138 7168 8192 8276 14336 14483 16384 16552 28672 28966 32768 33104 57344 57932 66208 114688 115864 132416 229376 231728 264832 463456 529664 926912 1059328 1853824 2118656 3707648 4237312 7415296 8474624 14830592 16949248 29661184 33898496 59322368 67796992 118644736 237289472 474578944