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63470496 = 253798369
BaseRepresentation
bin1111001000011…
…1101110100000
311102102122011010
43302013232200
5112222023441
610144220520
71400330115
oct362075640
9142378133
1063470496
1132911361
121930a740
13101c380b
14860290c
15588b116
hex3c87ba0

63470496 has 48 divisors (see below), whose sum is σ = 168739200. Its totient is φ = 20886528.

The previous prime is 63470479. The next prime is 63470497. The reversal of 63470496 is 69407436.

63470496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (63470497) 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 7 ways as a sum of consecutive naturals, for example, 3400 + ... + 11768.

It is an arithmetic number, because the mean of its divisors is an integer number (3515400).

Almost surely, 263470496 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 63470496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84369600).

63470496 is an abundant number, since it is smaller than the sum of its proper divisors (105268704).

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

63470496 is a wasteful number, since it uses less digits than its factorization.

63470496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8461 (or 8453 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The square root of 63470496 is about 7966.8372645611. The cubic root of 63470496 is about 398.8938103478.

The spelling of 63470496 in words is "sixty-three million, four hundred seventy thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 79 96 158 237 316 474 632 948 1264 1896 2528 3792 7584 8369 16738 25107 33476 50214 66952 100428 133904 200856 267808 401712 661151 803424 1322302 1983453 2644604 3966906 5289208 7933812 10578416 15867624 21156832 31735248 63470496