Search a number
-
+
42555555 = 3257532549
BaseRepresentation
bin1010001001010…
…1100010100011
32222002001020200
42202111202203
541343234210
64120040243
71024500450
oct242254243
988061220
1042555555
1122026689
1212303083
138a7cb03
14591a827
153b090c0
hex28958a3

42555555 has 48 divisors (see below), whose sum is σ = 85924800. Its totient is φ = 19079424.

The previous prime is 42555523. The next prime is 42555571. The reversal of 42555555 is 55555524.

It is not a de Polignac number, because 42555555 - 25 = 42555523 is a prime.

It is a super-2 number, since 2×425555552 = 3621950522716050, which contains 22 as substring.

42555555 is a modest number, since divided by 5555 gives 4255 as remainder.

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 47 ways as a sum of consecutive naturals, for example, 15421 + ... + 17969.

It is an arithmetic number, because the mean of its divisors is an integer number (1790100).

Almost surely, 242555555 is an apocalyptic number.

42555555 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42555555 is an abundant number, since it is smaller than the sum of its proper divisors (43369245).

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

42555555 is a wasteful number, since it uses less digits than its factorization.

42555555 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2620 (or 2617 counting only the distinct ones).

The product of its digits is 125000, while the sum is 36.

The square root of 42555555 is about 6523.4618876790. The cubic root of 42555555 is about 349.1285941391.

The spelling of 42555555 in words is "forty-two million, five hundred fifty-five thousand, five hundred fifty-five".

Divisors: 1 3 5 7 9 15 21 35 45 53 63 105 159 265 315 371 477 795 1113 1855 2385 2549 3339 5565 7647 12745 16695 17843 22941 38235 53529 89215 114705 135097 160587 267645 405291 675485 802935 945679 1215873 2026455 2837037 4728395 6079365 8511111 14185185 42555555