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42420004 = 221123167251
BaseRepresentation
bin1010000111010…
…0011100100100
32221211011022021
42201310130210
541324420004
64113112524
71023364324
oct241643444
987734267
1042420004
1121a43860
1212258744
138a331c3
1458c3284
153acdd54
hex2874724

42420004 has 48 divisors (see below), whose sum is σ = 85349376. Its totient is φ = 18260000.

The previous prime is 42419999. The next prime is 42420013. The reversal of 42420004 is 40002424.

It is a self number, because there is not a number n which added to its sum of digits gives 42420004.

It is an unprimeable number.

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, 168879 + ... + 169129.

It is an arithmetic number, because the mean of its divisors is an integer number (1778112).

Almost surely, 242420004 is an apocalyptic number.

42420004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42420004 is an abundant number, since it is smaller than the sum of its proper divisors (42929372).

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

42420004 is a wasteful number, since it uses less digits than its factorization.

42420004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 42420004 is about 6513.0641022486. The cubic root of 42420004 is about 348.7575100621.

Adding to 42420004 its reverse (40002424), we get a palindrome (82422428).

The spelling of 42420004 in words is "forty-two million, four hundred twenty thousand, four".

Divisors: 1 2 4 11 22 23 44 46 92 167 251 253 334 502 506 668 1004 1012 1837 2761 3674 3841 5522 5773 7348 7682 11044 11546 15364 23092 41917 42251 63503 83834 84502 127006 167668 169004 254012 461087 922174 964091 1844348 1928182 3856364 10605001 21210002 42420004