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493633896 = 233717307563
BaseRepresentation
bin11101011011000…
…100000101101000
31021101212012101220
4131123010011220
52002332241041
6120552142040
715142550610
oct3533040550
91241765356
10493633896
112337094a8
12119397920
137b366582
14497b9a40
152d50bd66
hex1d6c4168

493633896 has 128 divisors (see below), whose sum is σ = 1500871680. Its totient is φ = 132074496.

The previous prime is 493633883. The next prime is 493633901. The reversal of 493633896 is 698336394.

It is a Harshad number since it is a multiple of its sum of digits (51).

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 31 ways as a sum of consecutive naturals, for example, 876511 + ... + 877073.

It is an arithmetic number, because the mean of its divisors is an integer number (11725560).

Almost surely, 2493633896 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 493633896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750435840).

493633896 is an abundant number, since it is smaller than the sum of its proper divisors (1007237784).

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

493633896 is a wasteful number, since it uses less digits than its factorization.

493633896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903 (or 899 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 51.

The square root of 493633896 is about 22217.8733455747. The cubic root of 493633896 is about 790.3176076991.

The spelling of 493633896 in words is "four hundred ninety-three million, six hundred thirty-three thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 168 204 238 307 357 408 476 563 614 714 921 952 1126 1228 1428 1689 1842 2149 2252 2456 2856 3378 3684 3941 4298 4504 5219 6447 6756 7368 7882 8596 9571 10438 11823 12894 13512 15657 15764 17192 19142 20876 23646 25788 28713 31314 31528 36533 38284 41752 47292 51576 57426 62628 66997 73066 76568 94584 109599 114852 125256 133994 146132 172841 200991 219198 229704 267988 292264 345682 401982 438396 518523 535976 691364 803964 876792 1037046 1209887 1382728 1607928 2074092 2419774 2938297 3629661 4148184 4839548 5876594 7259322 8814891 9679096 11753188 14518644 17629782 20568079 23506376 29037288 35259564 41136158 61704237 70519128 82272316 123408474 164544632 246816948 493633896