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55387776 = 273971487
BaseRepresentation
bin1101001101001…
…0011010000000
310212012222202010
43103102122000
5103134402101
65255052520
71241534253
oct323223200
9125188663
1055387776
11292a0724
1216671140
13b623842
1474db09a
154ce12d6
hex34d2680

55387776 has 64 divisors (see below), whose sum is σ = 148740480. Its totient is φ = 18259968.

The previous prime is 55387771. The next prime is 55387777. The reversal of 55387776 is 67778355.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55387771) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36505 + ... + 37991.

It is an arithmetic number, because the mean of its divisors is an integer number (2324070).

Almost surely, 255387776 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 55387776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74370240).

55387776 is an abundant number, since it is smaller than the sum of its proper divisors (93352704).

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

55387776 is a wasteful number, since it uses less digits than its factorization.

55387776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1601 (or 1589 counting only the distinct ones).

The product of its digits is 1234800, while the sum is 48.

The square root of 55387776 is about 7442.2964197887. The cubic root of 55387776 is about 381.1869075565.

The spelling of 55387776 in words is "fifty-five million, three hundred eighty-seven thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 97 128 192 194 291 384 388 582 776 1164 1487 1552 2328 2974 3104 4461 4656 5948 6208 8922 9312 11896 12416 17844 18624 23792 35688 37248 47584 71376 95168 142752 144239 190336 285504 288478 432717 571008 576956 865434 1153912 1730868 2307824 3461736 4615648 6923472 9231296 13846944 18462592 27693888 55387776