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493332096 = 27310312473
BaseRepresentation
bin11101011001111…
…010011010000000
31021101021212102010
4131121322122000
52002243111341
6120541452520
715140152665
oct3531723200
91241255363
10493332096
11233522784
12119271140
137b28c0aa
144973ba6c
152d49c716
hex1d67a680

493332096 has 64 divisors (see below), whose sum is σ = 1323241920. Its totient is φ = 162834432.

The previous prime is 493332053. The next prime is 493332107. The reversal of 493332096 is 690233394.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33316 + ... + 45788.

It is an arithmetic number, because the mean of its divisors is an integer number (20675655).

Almost surely, 2493332096 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 493332096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661620960).

493332096 is an abundant number, since it is smaller than the sum of its proper divisors (829909824).

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

493332096 is a wasteful number, since it uses less digits than its factorization.

493332096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12593 (or 12581 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 39.

The square root of 493332096 is about 22211.0804779957. The cubic root of 493332096 is about 790.1565122792.

The spelling of 493332096 in words is "four hundred ninety-three million, three hundred thirty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 103 128 192 206 309 384 412 618 824 1236 1648 2472 3296 4944 6592 9888 12473 13184 19776 24946 37419 39552 49892 74838 99784 149676 199568 299352 399136 598704 798272 1197408 1284719 1596544 2394816 2569438 3854157 4789632 5138876 7708314 10277752 15416628 20555504 30833256 41111008 61666512 82222016 123333024 164444032 246666048 493332096