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663782252 = 22719297677
BaseRepresentation
bin100111100100001…
…000001101101100
31201021000122001212
4213210020031230
52324412013002
6145511053552
722310025140
oct4744101554
91637018055
10663782252
11310762481
121663712b8
13a769b283
146422b220
153d41b352
hex2790836c

663782252 has 72 divisors (see below), whose sum is σ = 1417649184. Its totient is φ = 266333184.

The previous prime is 663782243. The next prime is 663782303. The reversal of 663782252 is 252287366.

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 23 ways as a sum of consecutive naturals, for example, 980138 + ... + 980814.

It is an arithmetic number, because the mean of its divisors is an integer number (19689572).

Almost surely, 2663782252 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 663782252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708824592).

663782252 is an abundant number, since it is smaller than the sum of its proper divisors (753866932).

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

663782252 is a wasteful number, since it uses less digits than its factorization.

663782252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 802 counting only the distinct ones).

The product of its digits is 241920, while the sum is 41.

The square root of 663782252 is about 25763.9719763859. The cubic root of 663782252 is about 872.3187591895.

The spelling of 663782252 in words is "six hundred sixty-three million, seven hundred eighty-two thousand, two hundred fifty-two".

Divisors: 1 2 4 7 14 19 28 38 76 97 133 194 266 361 388 532 677 679 722 1354 1358 1444 1843 2527 2708 2716 3686 4739 5054 7372 9478 10108 12863 12901 18956 25726 25802 35017 51452 51604 65669 70034 90041 131338 140068 180082 244397 245119 262676 360164 459683 488794 490238 919366 977588 980476 1247711 1710779 1838732 2495422 3421558 4990844 6843116 8733977 17467954 23706509 34935908 47413018 94826036 165945563 331891126 663782252