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54889560 = 233251183167
BaseRepresentation
bin1101000101100…
…0110001011000
310211021200022200
43101120301120
5103022431220
65240250200
71234360605
oct321306130
9124250280
1054889560
1128a90380
1216470960
13b4aab3b
14740b6ac
154c43890
hex3458c58

54889560 has 192 divisors, whose sum is σ = 198132480. Its totient is φ = 13067520.

The previous prime is 54889553. The next prime is 54889567. The reversal of 54889560 is 6598845.

54889560 is a `hidden beast` number, since 5 + 4 + 8 + 89 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (54889553) and next prime (54889567).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54889567) 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 47 ways as a sum of consecutive naturals, for example, 328597 + ... + 328763.

It is an arithmetic number, because the mean of its divisors is an integer number (1031940).

Almost surely, 254889560 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 54889560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99066240).

54889560 is an abundant number, since it is smaller than the sum of its proper divisors (143242920).

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

54889560 is a wasteful number, since it uses less digits than its factorization.

54889560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 54889560 is about 7408.7488822338. The cubic root of 54889560 is about 380.0405312261.

The spelling of 54889560 in words is "fifty-four million, eight hundred eighty-nine thousand, five hundred sixty".