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693242396 = 227211229231
BaseRepresentation
bin101001010100100…
…000101000011100
31210022110100210022
4221110200220130
52404432224041
6152442331312
723115314600
oct5124405034
91708410708
10693242396
11326354300
121741b9b38
13b0814602
14680d9500
1540cda24b
hex29520a1c

693242396 has 54 divisors (see below), whose sum is σ = 1551254544. Its totient is φ = 270085200.

The previous prime is 693242393. The next prime is 693242401.

693242396 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×6932423962 = 961170039223641632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (693242393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9101 + ... + 38331.

It is an arithmetic number, because the mean of its divisors is an integer number (28726936).

Almost surely, 2693242396 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 693242396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775627272).

693242396 is an abundant number, since it is smaller than the sum of its proper divisors (858012148).

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

693242396 is a wasteful number, since it uses less digits than its factorization.

693242396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29271 (or 29251 counting only the distinct ones).

The product of its digits is 419904, while the sum is 44.

The square root of 693242396 is about 26329.4966909738. The cubic root of 693242396 is about 885.0375657286.

The spelling of 693242396 in words is "six hundred ninety-three million, two hundred forty-two thousand, three hundred ninety-six".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 121 154 196 242 308 484 539 847 1078 1694 2156 3388 5929 11858 23716 29231 58462 116924 204617 321541 409234 643082 818468 1286164 1432319 2250787 2864638 3536951 4501574 5729276 7073902 9003148 14147804 15755509 24758657 31511018 49517314 63022036 99034628 173310599 346621198 693242396