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42155652 = 223711431061
BaseRepresentation
bin1010000011001…
…1111010000100
32221022201200110
42200303322010
541242440102
64103313020
71021213530
oct240637204
987281613
1042155652
1121883190
121214b770
13896ca96
145854bc0
153a7a86c
hex2833e84

42155652 has 96 divisors (see below), whose sum is σ = 125604864. Its totient is φ = 10684800.

The previous prime is 42155621. The next prime is 42155653. The reversal of 42155652 is 25655124.

It is not an unprimeable number, because it can be changed into a prime (42155653) 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 31 ways as a sum of consecutive naturals, for example, 39202 + ... + 40262.

It is an arithmetic number, because the mean of its divisors is an integer number (1308384).

Almost surely, 242155652 is an apocalyptic number.

42155652 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42155652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62802432).

42155652 is an abundant number, since it is smaller than the sum of its proper divisors (83449212).

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

42155652 is a wasteful number, since it uses less digits than its factorization.

42155652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129 (or 1127 counting only the distinct ones).

The product of its digits is 12000, while the sum is 30.

The square root of 42155652 is about 6492.7384053264. The cubic root of 42155652 is about 348.0315402778.

The spelling of 42155652 in words is "forty-two million, one hundred fifty-five thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 43 44 66 77 84 86 129 132 154 172 231 258 301 308 462 473 516 602 903 924 946 1061 1204 1419 1806 1892 2122 2838 3183 3311 3612 4244 5676 6366 6622 7427 9933 11671 12732 13244 14854 19866 22281 23342 29708 35013 39732 44562 45623 46684 70026 81697 89124 91246 136869 140052 163394 182492 245091 273738 319361 326788 490182 501853 547476 638722 958083 980364 1003706 1277444 1505559 1916166 2007412 3011118 3512971 3832332 6022236 7025942 10538913 14051884 21077826 42155652