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54790144 = 21131863
BaseRepresentation
bin1101000100000…
…0100000000000
310211002121221121
43101000200000
5103011241034
65234202024
71233465013
oct321004000
9124077847
1054790144
1128a22712
1216423314
13b474806
1473c337a
154c241b4
hex3440800

54790144 has 48 divisors (see below), whose sum is σ = 113218560. Its totient is φ = 26480640.

The previous prime is 54790111. The next prime is 54790147. The reversal of 54790144 is 44109745.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54790147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 63057 + ... + 63919.

It is an arithmetic number, because the mean of its divisors is an integer number (2358720).

Almost surely, 254790144 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 54790144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56609280).

54790144 is an abundant number, since it is smaller than the sum of its proper divisors (58428416).

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

54790144 is an equidigital number, since it uses as much as digits as its factorization.

54790144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 54790144 is about 7402.0364765381. The cubic root of 54790144 is about 379.8109493606.

Adding to 54790144 its reverse (44109745), we get a palindrome (98899889).

The spelling of 54790144 in words is "fifty-four million, seven hundred ninety thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 496 512 863 992 1024 1726 1984 2048 3452 3968 6904 7936 13808 15872 26753 27616 31744 53506 55232 63488 107012 110464 214024 220928 428048 441856 856096 883712 1712192 1767424 3424384 6848768 13697536 27395072 54790144