Search a number
-
+
63602016 = 2536110861
BaseRepresentation
bin1111001010011…
…1110101100000
311102200022120020
43302213311200
5112240231031
610151113440
71401415422
oct362476540
9142608506
1063602016
11329a1155
1219372880
131023b63a
148638812
1558b5096
hex3ca7d60

63602016 has 48 divisors (see below), whose sum is σ = 169707888. Its totient is φ = 20851200.

The previous prime is 63602009. The next prime is 63602039. The reversal of 63602016 is 61020636.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 426 + ... + 11286.

It is an arithmetic number, because the mean of its divisors is an integer number (3535581).

Almost surely, 263602016 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 63602016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84853944).

63602016 is an abundant number, since it is smaller than the sum of its proper divisors (106105872).

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

63602016 is a wasteful number, since it uses less digits than its factorization.

63602016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10935 (or 10927 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 63602016 is about 7975.0872095545. The cubic root of 63602016 is about 399.1691420493.

The spelling of 63602016 in words is "sixty-three million, six hundred two thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 122 183 244 366 488 732 976 1464 1952 2928 5856 10861 21722 32583 43444 65166 86888 130332 173776 260664 347552 521328 662521 1042656 1325042 1987563 2650084 3975126 5300168 7950252 10600336 15900504 21200672 31801008 63602016