Search a number
-
+
55977072 = 2433137619
BaseRepresentation
bin1101010110001…
…0010001110000
310220022221002220
43111202101300
5103312231242
65315441040
71246540314
oct325422160
9126287086
1055977072
1129663448
12168b6180
13b79bb38
147611b44
154daabec
hex3562470

55977072 has 40 divisors (see below), whose sum is σ = 149276160. Its totient is φ = 18056640.

The previous prime is 55977071. The next prime is 55977113. The reversal of 55977072 is 27077955.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55977071) 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 7 ways as a sum of consecutive naturals, for example, 17322 + ... + 20297.

It is an arithmetic number, because the mean of its divisors is an integer number (3731904).

Almost surely, 255977072 is an apocalyptic number.

It is an amenable number.

55977072 is an abundant number, since it is smaller than the sum of its proper divisors (93299088).

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

55977072 is a wasteful number, since it uses less digits than its factorization.

55977072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37661 (or 37655 counting only the distinct ones).

The product of its (nonzero) digits is 154350, while the sum is 42.

The square root of 55977072 is about 7481.7826752720. The cubic root of 55977072 is about 382.5340155148.

The spelling of 55977072 in words is "fifty-five million, nine hundred seventy-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 1488 37619 75238 112857 150476 225714 300952 451428 601904 902856 1166189 1805712 2332378 3498567 4664756 6997134 9329512 13994268 18659024 27988536 55977072