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493626816 = 26323372543
BaseRepresentation
bin11101011011000…
…010010111000000
31021101211211200200
4131123002113000
52002332024231
6120552045200
715142521144
oct3533022700
91241754620
10493626816
11233704151
12119393800
137b363297
14497b7224
152d509be6
hex1d6c25c0

493626816 has 84 divisors (see below), whose sum is σ = 1419648672. Its totient is φ = 163989504.

The previous prime is 493626811. The next prime is 493626871. The reversal of 493626816 is 618626394.

493626816 is a `hidden beast` number, since 4 + 9 + 3 + 626 + 8 + 16 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493626811) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 192841 + ... + 195383.

Almost surely, 2493626816 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 493626816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709824336).

493626816 is an abundant number, since it is smaller than the sum of its proper divisors (926021856).

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

493626816 is a wasteful number, since it uses less digits than its factorization.

493626816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2898 (or 2885 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 493626816 is about 22217.7140138224. The cubic root of 493626816 is about 790.3138292745.

The spelling of 493626816 in words is "four hundred ninety-three million, six hundred twenty-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 337 576 674 1011 1348 2022 2543 2696 3033 4044 5086 5392 6066 7629 8088 10172 10784 12132 15258 16176 20344 21568 22887 24264 30516 32352 40688 45774 48528 61032 64704 81376 91548 97056 122064 162752 183096 194112 244128 366192 488256 732384 856991 1464768 1713982 2570973 3427964 5141946 6855928 7712919 10283892 13711856 15425838 20567784 27423712 30851676 41135568 54847424 61703352 82271136 123406704 164542272 246813408 493626816