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463764496 = 241321110567
BaseRepresentation
bin11011101001000…
…111110000010000
31012022122200021211
4123221013300100
51422210430441
6114004025504
714330635036
oct3351076020
91168580254
10463764496
11218868148
1210b392294
1375108b80
1445842556
152aaaba81
hex1ba47c10

463764496 has 40 divisors (see below), whose sum is σ = 972340544. Its totient is φ = 213010560.

The previous prime is 463764481. The next prime is 463764529. The reversal of 463764496 is 694467364.

It is an unprimeable number.

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, 38605 + ... + 49171.

Almost surely, 2463764496 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 463764496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486170272).

463764496 is an abundant number, since it is smaller than the sum of its proper divisors (508576048).

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

463764496 is a wasteful number, since it uses less digits than its factorization.

463764496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10799 (or 10793 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 49.

The square root of 463764496 is about 21535.1920353639. The cubic root of 463764496 is about 774.0443279524.

The spelling of 463764496 in words is "four hundred sixty-three million, seven hundred sixty-four thousand, four hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 52 104 208 211 422 844 1688 2743 3376 5486 10567 10972 21134 21944 42268 43888 84536 137371 169072 274742 549484 1098968 2197936 2229637 4459274 8918548 17837096 28985281 35674192 57970562 115941124 231882248 463764496