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42788004 = 22372322147
BaseRepresentation
bin1010001100111…
…0010010100100
32222111212002220
42203032102210
541423204004
64125032340
71026456240
oct243162244
988455086
1042788004
1122175296
12123b56b0
138b3185c
14597b420
153b52dd9
hex28ce4a4

42788004 has 48 divisors (see below), whose sum is σ = 119067648. Its totient is φ = 11693088.

The previous prime is 42788003. The next prime is 42788033. The reversal of 42788004 is 40088724.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (42788003) 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 15 ways as a sum of consecutive naturals, for example, 9142 + ... + 13005.

It is an arithmetic number, because the mean of its divisors is an integer number (2480576).

Almost surely, 242788004 is an apocalyptic number.

It is an amenable number.

42788004 is an abundant number, since it is smaller than the sum of its proper divisors (76279644).

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

42788004 is a wasteful number, since it uses less digits than its factorization.

42788004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22184 (or 22182 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 42788004 is about 6541.2540082159. The cubic root of 42788004 is about 349.7631159007.

The spelling of 42788004 in words is "forty-two million, seven hundred eighty-eight thousand, four".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 276 322 483 644 966 1932 22147 44294 66441 88588 132882 155029 265764 310058 465087 509381 620116 930174 1018762 1528143 1860348 2037524 3056286 3565667 6112572 7131334 10697001 14262668 21394002 42788004