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54078976 = 29779191
BaseRepresentation
bin1100111001001…
…0111000000000
310202202111102001
43032102320000
5102321011401
65211033344
71224443440
oct316227000
9122674361
1054078976
1128587376
121613b854
13b285bc3
14727a120
154b33601
hex3392e00

54078976 has 80 divisors (see below), whose sum is σ = 125706240. Its totient is φ = 22763520.

The previous prime is 54078967. The next prime is 54078979. The reversal of 54078976 is 67987045.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54078979) 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, 283041 + ... + 283231.

It is an arithmetic number, because the mean of its divisors is an integer number (1571328).

Almost surely, 254078976 is an apocalyptic number.

54078976 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54078976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62853120).

54078976 is an abundant number, since it is smaller than the sum of its proper divisors (71627264).

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

54078976 is an equidigital number, since it uses as much as digits as its factorization.

54078976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 46.

The square root of 54078976 is about 7353.8409011890. The cubic root of 54078976 is about 378.1604909974.

The spelling of 54078976 in words is "fifty-four million, seventy-eight thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 79 112 128 158 191 224 256 316 382 448 512 553 632 764 896 1106 1264 1337 1528 1792 2212 2528 2674 3056 3584 4424 5056 5348 6112 8848 10112 10696 12224 15089 17696 20224 21392 24448 30178 35392 40448 42784 48896 60356 70784 85568 97792 105623 120712 141568 171136 211246 241424 283136 342272 422492 482848 684544 844984 965696 1689968 1931392 3379936 3862784 6759872 7725568 13519744 27039488 54078976