Search a number
-
+
6264072 = 2332192241
BaseRepresentation
bin10111111001010100001000
3102210020200200
4113321110020
53100422242
6342132200
7104146413
oct27712410
912706620
106264072
113599321
122121060
1313b4269
14b90b7a
1583b04c
hex5f9508

6264072 has 72 divisors (see below), whose sum is σ = 17979390. Its totient is φ = 1969920.

The previous prime is 6264061. The next prime is 6264079. The reversal of 6264072 is 2704626.

It can be written as a sum of positive squares in only one way, i.e., 4691556 + 1572516 = 2166^2 + 1254^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (6264079) 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, 25872 + ... + 26112.

Almost surely, 26264072 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 6264072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8989695).

6264072 is an abundant number, since it is smaller than the sum of its proper divisors (11715318).

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

6264072 is a wasteful number, since it uses less digits than its factorization.

6264072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 6264072 is about 2502.8128176114. The cubic root of 6264072 is about 184.3397158182.

Adding to 6264072 its reverse (2704626), we get a palindrome (8968698).

The spelling of 6264072 in words is "six million, two hundred sixty-four thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 241 342 361 456 482 684 722 723 964 1083 1368 1444 1446 1928 2166 2169 2888 2892 3249 4332 4338 4579 5784 6498 8664 8676 9158 12996 13737 17352 18316 25992 27474 36632 41211 54948 82422 87001 109896 164844 174002 261003 329688 348004 522006 696008 783009 1044012 1566018 2088024 3132036 6264072