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493749984 = 25371356519
BaseRepresentation
bin11101011011100…
…000011011100000
31021102002002122110
4131123200123200
52002344444414
6120554435320
715143543220
oct3533403340
91242062573
10493749984
11233788742
12119432b40
137b3a7370
144980a080
152d531459
hex1d6e06e0

493749984 has 96 divisors (see below), whose sum is σ = 1595220480. Its totient is φ = 130217472.

The previous prime is 493749973. The next prime is 493750009. The reversal of 493749984 is 489947394.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19524 + ... + 36995.

It is an arithmetic number, because the mean of its divisors is an integer number (16616880).

Almost surely, 2493749984 is an apocalyptic number.

It is an amenable number.

493749984 is an abundant number, since it is smaller than the sum of its proper divisors (1101470496).

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

493749984 is a wasteful number, since it uses less digits than its factorization.

493749984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56552 (or 56544 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 57.

The square root of 493749984 is about 22220.4856832608. The cubic root of 493749984 is about 790.3795559028.

The spelling of 493749984 in words is "four hundred ninety-three million, seven hundred forty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 156 168 182 208 224 273 312 336 364 416 546 624 672 728 1092 1248 1456 2184 2912 4368 8736 56519 113038 169557 226076 339114 395633 452152 678228 734747 791266 904304 1186899 1356456 1469494 1582532 1808608 2204241 2373798 2712912 2938988 3165064 4408482 4747596 5143229 5425824 5877976 6330128 8816964 9495192 10286458 11755952 12660256 15429687 17633928 18990384 20572916 23511904 30859374 35267856 37980768 41145832 61718748 70535712 82291664 123437496 164583328 246874992 493749984