Search a number
-
+
56137770 = 23251347981
BaseRepresentation
bin1101011000100…
…1100000101010
310220122002112200
43112021200222
5103332402040
65323121030
71251106653
oct326114052
9126562480
1056137770
1129763157
1216973176
13b827020
14765452a
154ddd630
hex358982a

56137770 has 48 divisors (see below), whose sum is σ = 157189032. Its totient is φ = 13818240.

The previous prime is 56137727. The next prime is 56137771. The reversal of 56137770 is 7773165.

It can be written as a sum of positive squares in 4 ways, for example, as 27973521 + 28164249 = 5289^2 + 5307^2 .

It is not an unprimeable number, because it can be changed into a prime (56137771) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 22821 + ... + 25160.

Almost surely, 256137770 is an apocalyptic number.

56137770 is an abundant number, since it is smaller than the sum of its proper divisors (101051262).

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

56137770 is a wasteful number, since it uses less digits than its factorization.

56137770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48007 (or 48004 counting only the distinct ones).

The product of its (nonzero) digits is 30870, while the sum is 36.

The square root of 56137770 is about 7492.5142642507. The cubic root of 56137770 is about 382.8997231042.

The spelling of 56137770 in words is "fifty-six million, one hundred thirty-seven thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 47981 95962 143943 239905 287886 431829 479810 623753 719715 863658 1247506 1439430 1871259 2159145 3118765 3742518 4318290 5613777 6237530 9356295 11227554 18712590 28068885 56137770