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254055042 = 238191019
BaseRepresentation
bin11110010010010…
…01001010000010
3122201001100000000
433021021022002
51010014230132
641113140430
76203301153
oct1711111202
9581040000
10254055042
1112045334a
12710ba716
1340832337
1425a5392a
151748587c
hexf249282

254055042 has 72 divisors (see below), whose sum is σ = 602269200. Its totient is φ = 80149176.

The previous prime is 254055041. The next prime is 254055047. The reversal of 254055042 is 240550452.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 254054997 and 254055015.

It is not an unprimeable number, because it can be changed into a prime (254055041) 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 35 ways as a sum of consecutive naturals, for example, 248809 + ... + 249827.

It is an arithmetic number, because the mean of its divisors is an integer number (8364850).

Almost surely, 2254055042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 254055042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301134600).

254055042 is an abundant number, since it is smaller than the sum of its proper divisors (348214158).

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

254055042 is an equidigital number, since it uses as much as digits as its factorization.

254055042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 254055042 is about 15939.1041780898. The cubic root of 254055042 is about 633.3482955530.

The spelling of 254055042 in words is "two hundred fifty-four million, fifty-five thousand, forty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 243 342 486 513 729 1019 1026 1458 1539 2038 2187 3057 3078 4374 4617 6114 6561 9171 9234 13122 13851 18342 19361 27513 27702 38722 41553 55026 58083 82539 83106 116166 124659 165078 174249 247617 249318 348498 495234 522747 742851 1045494 1485702 1568241 2228553 3136482 4457106 4704723 6685659 9409446 13371318 14114169 28228338 42342507 84685014 127027521 254055042