Search a number
-
+
42155550 = 23252234073
BaseRepresentation
bin1010000011001…
…1111000011110
32221022201112200
42200303320132
541242434200
64103312330
71021213323
oct240637036
987281480
1042155550
11218830a8
121214b6a6
13896ca18
145854b4a
153a7a800
hex2833e1e

42155550 has 72 divisors (see below), whose sum is σ = 118211184. Its totient is φ = 10750080.

The previous prime is 42155513. The next prime is 42155551. The reversal of 42155550 is 5555124.

42155550 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42155551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8314 + ... + 12386.

It is an arithmetic number, because the mean of its divisors is an integer number (1641822).

Almost surely, 242155550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42155550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59105592).

42155550 is an abundant number, since it is smaller than the sum of its proper divisors (76055634).

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

42155550 is a wasteful number, since it uses less digits than its factorization.

42155550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4114 (or 4106 counting only the distinct ones).

The product of its (nonzero) digits is 5000, while the sum is 27.

The square root of 42155550 is about 6492.7305503925. The cubic root of 42155550 is about 348.0312595780.

The spelling of 42155550 in words is "forty-two million, one hundred fifty-five thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 23 25 30 45 46 50 69 75 90 115 138 150 207 225 230 345 414 450 575 690 1035 1150 1725 2070 3450 4073 5175 8146 10350 12219 20365 24438 36657 40730 61095 73314 93679 101825 122190 183285 187358 203650 281037 305475 366570 468395 562074 610950 843111 916425 936790 1405185 1686222 1832850 2341975 2810370 4215555 4683950 7025925 8431110 14051850 21077775 42155550