Search a number
-
+
55674880 = 21155437
BaseRepresentation
bin1101010001100…
…0100000000000
310212202120120121
43110120200000
5103223044010
65305150024
71244141302
oct324304000
9125676517
1055674880
11294773a8
121678b314
13b6c4421
147573972
154d4b3da
hex3518800

55674880 has 48 divisors (see below), whose sum is σ = 133611660. Its totient is φ = 22265856.

The previous prime is 55674877. The next prime is 55674887. The reversal of 55674880 is 8847655.

It can be written as a sum of positive squares in 2 ways, for example, as 55591936 + 82944 = 7456^2 + 288^2 .

It is not an unprimeable number, because it can be changed into a prime (55674887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7522 + ... + 12958.

Almost surely, 255674880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55674880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66805830).

55674880 is an abundant number, since it is smaller than the sum of its proper divisors (77936780).

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

55674880 is an equidigital number, since it uses as much as digits as its factorization.

55674880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5464 (or 5444 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 43.

The square root of 55674880 is about 7461.5601585727. The cubic root of 55674880 is about 381.8444036138.

The spelling of 55674880 in words is "fifty-five million, six hundred seventy-four thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2560 5120 5437 10240 10874 21748 27185 43496 54370 86992 108740 173984 217480 347968 434960 695936 869920 1391872 1739840 2783744 3479680 5567488 6959360 11134976 13918720 27837440 55674880