Search a number
-
+
55378048 = 2711371063
BaseRepresentation
bin1101001101000…
…0000010000000
310212012111101211
43103100002000
5103134044143
65254535504
71241464015
oct323200200
9125174354
1055378048
1129294390
1216667594
13b61c29b
1474d770c
154cdd49d
hex34d0080

55378048 has 64 divisors (see below), whose sum is σ = 123721920. Its totient is φ = 24468480.

The previous prime is 55378039. The next prime is 55378051. The reversal of 55378048 is 84087355.

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

It is a self number, because there is not a number n which added to its sum of digits gives 55378048.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 51565 + ... + 52627.

It is an arithmetic number, because the mean of its divisors is an integer number (1933155).

Almost surely, 255378048 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 55378048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61860960).

55378048 is an abundant number, since it is smaller than the sum of its proper divisors (68343872).

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

55378048 is a wasteful number, since it uses less digits than its factorization.

55378048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 40.

The square root of 55378048 is about 7441.6428293758. The cubic root of 55378048 is about 381.1645897358.

The spelling of 55378048 in words is "fifty-five million, three hundred seventy-eight thousand, forty-eight".

Divisors: 1 2 4 8 11 16 22 32 37 44 64 74 88 128 148 176 296 352 407 592 704 814 1063 1184 1408 1628 2126 2368 3256 4252 4736 6512 8504 11693 13024 17008 23386 26048 34016 39331 46772 52096 68032 78662 93544 136064 157324 187088 314648 374176 432641 629296 748352 865282 1258592 1496704 1730564 2517184 3461128 5034368 6922256 13844512 27689024 55378048