Search a number
-
+
63801696 = 2537192263
BaseRepresentation
bin1111001101100…
…0100101100000
311110001110110210
43303120211200
5112313123241
610155254120
71403206530
oct363304540
9143043423
1063801696
1133018182
121944a340
13102ab4aa
14868b4c0
155904316
hex3cd8960

63801696 has 144 divisors (see below), whose sum is σ = 202777344. Its totient is φ = 17203968.

The previous prime is 63801671. The next prime is 63801707. The reversal of 63801696 is 69610836.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 242461 + ... + 242723.

It is an arithmetic number, because the mean of its divisors is an integer number (1408176).

Almost surely, 263801696 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 63801696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101388672).

63801696 is an abundant number, since it is smaller than the sum of its proper divisors (138975648).

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

63801696 is a wasteful number, since it uses less digits than its factorization.

63801696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 63801696 is about 7987.5963843950. The cubic root of 63801696 is about 399.5864392328.

It can be divided in two parts, 6 and 3801696, that multiplied together give a square (22810176 = 47762).

The spelling of 63801696 in words is "sixty-three million, eight hundred one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 76 84 96 112 114 133 152 168 224 228 263 266 304 336 361 399 456 526 532 608 672 722 789 798 912 1052 1064 1083 1444 1578 1596 1824 1841 2104 2128 2166 2527 2888 3156 3192 3682 4208 4256 4332 4997 5054 5523 5776 6312 6384 7364 7581 8416 8664 9994 10108 11046 11552 12624 12768 14728 14991 15162 17328 19988 20216 22092 25248 29456 29982 30324 34656 34979 39976 40432 44184 58912 59964 60648 69958 79952 80864 88368 94943 104937 119928 121296 139916 159904 176736 189886 209874 239856 242592 279832 284829 379772 419748 479712 559664 569658 664601 759544 839496 1119328 1139316 1329202 1519088 1678992 1993803 2278632 2658404 3038176 3357984 3987606 4557264 5316808 7975212 9114528 10633616 15950424 21267232 31900848 63801696