Search a number
-
+
66624448 = 2611101937
BaseRepresentation
bin1111111000100…
…1101111000000
311122100212120011
43332021233000
5114023440243
610335554304
71436204242
oct376115700
9148325504
1066624448
1134675a30
121a38b994
1310a59267
148bc4092
155cb089d
hex3f89bc0

66624448 has 56 divisors (see below), whose sum is σ = 145810224. Its totient is φ = 29952000.

The previous prime is 66624443. The next prime is 66624451. The reversal of 66624448 is 84442666.

It is a self number, because there is not a number n which added to its sum of digits gives 66624448.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66624443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70636 + ... + 71572.

It is an arithmetic number, because the mean of its divisors is an integer number (2603754).

Almost surely, 266624448 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 66624448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72905112).

66624448 is an abundant number, since it is smaller than the sum of its proper divisors (79185776).

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

66624448 is a wasteful number, since it uses less digits than its factorization.

66624448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1061 (or 1051 counting only the distinct ones).

The product of its digits is 221184, while the sum is 40.

The square root of 66624448 is about 8162.3800450604. The cubic root of 66624448 is about 405.3945208106.

The spelling of 66624448 in words is "sixty-six million, six hundred twenty-four thousand, four hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 101 176 202 352 404 704 808 937 1111 1616 1874 2222 3232 3748 4444 6464 7496 8888 10307 14992 17776 20614 29984 35552 41228 59968 71104 82456 94637 164912 189274 329824 378548 659648 757096 1041007 1514192 2082014 3028384 4164028 6056768 8328056 16656112 33312224 66624448