Search a number
-
+
55761732 = 223213196271
BaseRepresentation
bin1101010010110…
…1101101000100
310212220222201100
43110231231010
5103233333412
65311100100
71244652435
oct324555504
9125828640
1055761732
1129526684
1216811630
13b724b10
14759748c
154d66edc
hex352db44

55761732 has 72 divisors (see below), whose sum is σ = 159810560. Its totient is φ = 16251840.

The previous prime is 55761731. The next prime is 55761749. The reversal of 55761732 is 23716755.

55761732 is a `hidden beast` number, since 5 + 5 + 7 + 617 + 32 = 666.

55761732 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (55761731) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 5757 + ... + 12027.

Almost surely, 255761732 is an apocalyptic number.

55761732 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55761732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79905280).

55761732 is an abundant number, since it is smaller than the sum of its proper divisors (104048828).

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

55761732 is a wasteful number, since it uses less digits than its factorization.

55761732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6313 (or 6308 counting only the distinct ones).

The product of its digits is 44100, while the sum is 36.

The square root of 55761732 is about 7467.3778530352. The cubic root of 55761732 is about 382.0428576861.

The spelling of 55761732 in words is "fifty-five million, seven hundred sixty-one thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 36 38 39 52 57 76 78 114 117 156 171 228 234 247 342 468 494 684 741 988 1482 2223 2964 4446 6271 8892 12542 18813 25084 37626 56439 75252 81523 112878 119149 163046 225756 238298 244569 326092 357447 476596 489138 714894 733707 978276 1072341 1429788 1467414 1548937 2144682 2934828 3097874 4289364 4646811 6195748 9293622 13940433 18587244 27880866 55761732