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42031800 = 233252191229
BaseRepresentation
bin1010000001010…
…1101010111000
32221002102210100
42200111222320
541230004200
64100515400
71020156456
oct240255270
987072710
1042031800
11217a9128
12120abb60
1389285b5
1458219d6
153a53d00
hex2815ab8

42031800 has 144 divisors (see below), whose sum is σ = 148707000. Its totient is φ = 10609920.

The previous prime is 42031799. The next prime is 42031807. The reversal of 42031800 is 813024.

It is a happy number.

It is a super-2 number, since 2×420318002 = 3533344422480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42031807) 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 35 ways as a sum of consecutive naturals, for example, 33586 + ... + 34814.

Almost surely, 242031800 is an apocalyptic number.

42031800 is a gapful number since it is divisible by the number (40) 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 42031800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74353500).

42031800 is an abundant number, since it is smaller than the sum of its proper divisors (106675200).

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

42031800 is a wasteful number, since it uses less digits than its factorization.

42031800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 42031800 is about 6483.1936574500. The cubic root of 42031800 is about 347.6903706485.

Adding to 42031800 its reverse (813024), we get a palindrome (42844824).

The spelling of 42031800 in words is "forty-two million, thirty-one thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 25 30 36 38 40 45 50 57 60 72 75 76 90 95 100 114 120 150 152 171 180 190 200 225 228 285 300 342 360 380 450 456 475 570 600 684 760 855 900 950 1140 1229 1368 1425 1710 1800 1900 2280 2458 2850 3420 3687 3800 4275 4916 5700 6145 6840 7374 8550 9832 11061 11400 12290 14748 17100 18435 22122 23351 24580 29496 30725 34200 36870 44244 46702 49160 55305 61450 70053 73740 88488 92175 93404 110610 116755 122900 140106 147480 184350 186808 210159 221220 233510 245800 276525 280212 350265 368700 420318 442440 467020 553050 560424 583775 700530 737400 840636 934040 1050795 1106100 1167550 1401060 1681272 1751325 2101590 2212200 2335100 2802120 3502650 4203180 4670200 5253975 7005300 8406360 10507950 14010600 21015900 42031800