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634686496 = 2547479881
BaseRepresentation
bin100101110101001…
…000110000100000
31122020021102012021
4211311020300200
52244434431441
6142551311224
721504513643
oct4565106040
91566242167
10634686496
112a629a3a4
1215867b514
13a1651a52
1460415a5a
153aac03d1
hex25d48c20

634686496 has 48 divisors (see below), whose sum is σ = 1280240640. Its totient is φ = 309591040.

The previous prime is 634686463. The next prime is 634686527. The reversal of 634686496 is 694686436.

It is an unprimeable number.

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, 719976 + ... + 720856.

It is an arithmetic number, because the mean of its divisors is an integer number (26671680).

Almost surely, 2634686496 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 634686496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640120320).

634686496 is an abundant number, since it is smaller than the sum of its proper divisors (645554144).

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

634686496 is a wasteful number, since it uses less digits than its factorization.

634686496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1417 (or 1409 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 52.

The square root of 634686496 is about 25192.9850553681. The cubic root of 634686496 is about 859.3823291514.

The spelling of 634686496 in words is "six hundred thirty-four million, six hundred eighty-six thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 32 47 94 188 376 479 752 881 958 1504 1762 1916 3524 3832 7048 7664 14096 15328 22513 28192 41407 45026 82814 90052 165628 180104 331256 360208 421999 662512 720416 843998 1325024 1687996 3375992 6751984 13503968 19833953 39667906 79335812 158671624 317343248 634686496