Search a number
-
+
64954432 = 262979443
BaseRepresentation
bin1111011111001…
…0000001000000
311112020000201201
43313302001000
5113112020212
610240110544
71416050344
oct367620100
9145200651
1064954432
1133735254
1219905454
13105c309a
1488ab624
155a80b57
hex3df2040

64954432 has 56 divisors (see below), whose sum is σ = 135331200. Its totient is φ = 30890496.

The previous prime is 64954429. The next prime is 64954459. The reversal of 64954432 is 23445946.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 64954391 and 64954400.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 146403 + ... + 146845.

Almost surely, 264954432 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 64954432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67665600).

64954432 is an abundant number, since it is smaller than the sum of its proper divisors (70376768).

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

64954432 is a wasteful number, since it uses less digits than its factorization.

64954432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 553 counting only the distinct ones).

The product of its digits is 103680, while the sum is 37.

The square root of 64954432 is about 8059.4312454416. The cubic root of 64954432 is about 401.9785967500.

The spelling of 64954432 in words is "sixty-four million, nine hundred fifty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 29 32 58 64 79 116 158 232 316 443 464 632 886 928 1264 1772 1856 2291 2528 3544 4582 5056 7088 9164 12847 14176 18328 25694 28352 34997 36656 51388 69994 73312 102776 139988 146624 205552 279976 411104 559952 822208 1014913 1119904 2029826 2239808 4059652 8119304 16238608 32477216 64954432