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442500057 = 33374310301
BaseRepresentation
bin11010011000000…
…000001111011001
31010211122022222000
4122120000033121
51401240000212
6111524151213
713652121426
oct3230001731
91124568860
10442500057
1120786392a
12104238509
13708a206c
1442aa8d4d
1528cab1dc
hex1a6003d9

442500057 has 32 divisors (see below), whose sum is σ = 688997760. Its totient is φ = 280324800.

The previous prime is 442500041. The next prime is 442500061. The reversal of 442500057 is 750005244.

It is not a de Polignac number, because 442500057 - 24 = 442500041 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 442500057.

It is not an unprimeable number, because it can be changed into a prime (442500017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37807 + ... + 48107.

It is an arithmetic number, because the mean of its divisors is an integer number (21531180).

Almost surely, 2442500057 is an apocalyptic number.

It is an amenable number.

442500057 is a deficient number, since it is larger than the sum of its proper divisors (246497703).

442500057 is a wasteful number, since it uses less digits than its factorization.

442500057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10390 (or 10384 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 442500057 is about 21035.6853228032. The cubic root of 442500057 is about 762.0283175043.

The spelling of 442500057 in words is "four hundred forty-two million, five hundred thousand, fifty-seven".

Divisors: 1 3 9 27 37 43 111 129 333 387 999 1161 1591 4773 10301 14319 30903 42957 92709 278127 381137 442943 1143411 1328829 3430233 3986487 10290699 11959461 16388891 49166673 147500019 442500057