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693920816 = 24298591741
BaseRepresentation
bin101001010111000…
…110010000110000
31210100201211101222
4221113012100300
52410120431231
6152505044212
723124141521
oct5127062060
91710654358
10693920816
11326777a86
12174486668
13b09c1344
1468234848
1540dc127b
hex295c6430

693920816 has 40 divisors (see below), whose sum is σ = 1393251600. Its totient is φ = 334414080.

The previous prime is 693920813. The next prime is 693920827. The reversal of 693920816 is 618029396.

It is not an unprimeable number, because it can be changed into a prime (693920813) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 397706 + ... + 399446.

It is an arithmetic number, because the mean of its divisors is an integer number (34831290).

Almost surely, 2693920816 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 693920816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696625800).

693920816 is an abundant number, since it is smaller than the sum of its proper divisors (699330784).

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

693920816 is a wasteful number, since it uses less digits than its factorization.

693920816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2637 (or 2631 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 44.

The square root of 693920816 is about 26342.3768099995. The cubic root of 693920816 is about 885.3261763849.

The spelling of 693920816 in words is "six hundred ninety-three million, nine hundred twenty thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 29 58 116 232 464 859 1718 1741 3436 3482 6872 6964 13744 13928 24911 27856 49822 50489 99644 100978 199288 201956 398576 403912 807824 1495519 2991038 5982076 11964152 23928304 43370051 86740102 173480204 346960408 693920816