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42155300 = 225211192017
BaseRepresentation
bin1010000011001…
…1110100100100
32221022201012102
42200303310210
541242432200
64103311232
71021212515
oct240636444
987281172
1042155300
11218829a0
121214b518
13896c885
145854a0c
153a7a6d5
hex2833d24

42155300 has 72 divisors (see below), whose sum is σ = 105097440. Its totient is φ = 14515200.

The previous prime is 42155293. The next prime is 42155317. The reversal of 42155300 is 355124.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 23 ways as a sum of consecutive naturals, for example, 19892 + ... + 21908.

Almost surely, 242155300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42155300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52548720).

42155300 is an abundant number, since it is smaller than the sum of its proper divisors (62942140).

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

42155300 is a wasteful number, since it uses less digits than its factorization.

42155300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2061 (or 2054 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 42155300 is about 6492.7112980634. The cubic root of 42155300 is about 348.0305715865.

The spelling of 42155300 in words is "forty-two million, one hundred fifty-five thousand, three hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 38 44 50 55 76 95 100 110 190 209 220 275 380 418 475 550 836 950 1045 1100 1900 2017 2090 4034 4180 5225 8068 10085 10450 20170 20900 22187 38323 40340 44374 50425 76646 88748 100850 110935 153292 191615 201700 221870 383230 421553 443740 554675 766460 843106 958075 1109350 1686212 1916150 2107765 2218700 3832300 4215530 8431060 10538825 21077650 42155300