Search a number
-
+
55972722 = 23131674297
BaseRepresentation
bin1101010110000…
…1001101110010
310220022201010210
43111201031302
5103312111342
65315404550
71246521531
oct325411562
9126281123
1055972722
1129660153
12168b3756
13b799b70
147610318
154da979c
hex3561372

55972722 has 32 divisors (see below), whose sum is σ = 121306752. Its totient is φ = 17115264.

The previous prime is 55972711. The next prime is 55972729. The reversal of 55972722 is 22727955.

55972722 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×559727223 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (55972729) 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 15 ways as a sum of consecutive naturals, for example, 10878 + ... + 15174.

It is an arithmetic number, because the mean of its divisors is an integer number (3790836).

Almost surely, 255972722 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55972722, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60653376).

55972722 is an abundant number, since it is smaller than the sum of its proper divisors (65334030).

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

55972722 is a wasteful number, since it uses less digits than its factorization.

55972722 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4482.

The product of its digits is 88200, while the sum is 39.

The square root of 55972722 is about 7481.4919635057. The cubic root of 55972722 is about 382.5241063025.

The spelling of 55972722 in words is "fifty-five million, nine hundred seventy-two thousand, seven hundred twenty-two".

Divisors: 1 2 3 6 13 26 39 78 167 334 501 1002 2171 4297 4342 6513 8594 12891 13026 25782 55861 111722 167583 335166 717599 1435198 2152797 4305594 9328787 18657574 27986361 55972722