Search a number
-
+
55599072 = 2532692153
BaseRepresentation
bin1101010000010…
…1111111100000
310212121201120220
43110011333200
5103213132242
65303403040
71243404264
oct324057740
9125551526
1055599072
1129425451
1216753480
13b698a79
1475540a4
154d33bec
hex3505fe0

55599072 has 48 divisors (see below), whose sum is σ = 146558160. Its totient is φ = 18455552.

The previous prime is 55599059. The next prime is 55599083. The reversal of 55599072 is 27099555.

55599072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×555990722 = 6182513614522368, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24748 + ... + 26900.

It is an arithmetic number, because the mean of its divisors is an integer number (3053295).

Almost surely, 255599072 is an apocalyptic number.

It is an amenable number.

55599072 is an abundant number, since it is smaller than the sum of its proper divisors (90959088).

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

55599072 is a wasteful number, since it uses less digits than its factorization.

55599072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2435 (or 2427 counting only the distinct ones).

The product of its (nonzero) digits is 141750, while the sum is 42.

The square root of 55599072 is about 7456.4785254167. The cubic root of 55599072 is about 381.6710159706.

The spelling of 55599072 in words is "fifty-five million, five hundred ninety-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 269 538 807 1076 1614 2152 2153 3228 4304 4306 6456 6459 8608 8612 12912 12918 17224 25824 25836 34448 51672 68896 103344 206688 579157 1158314 1737471 2316628 3474942 4633256 6949884 9266512 13899768 18533024 27799536 55599072