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42322035400 = 23521814212777
BaseRepresentation
bin100111011010100101…
…110000001011001000
311001020111101011020121
4213122211300023020
51143133420113100
631235324033024
73025531236211
oct473245601310
9131214334217
1042322035400
1116a4875a667
128251692774
133cb61713c8
142096b34408
15117a7ac51a
hex9da9702c8

42322035400 has 96 divisors (see below), whose sum is σ = 99213103080. Its totient is φ = 16789248000.

The previous prime is 42322035359. The next prime is 42322035401. The reversal of 42322035400 is 453022324.

It can be written as a sum of positive squares in 12 ways, for example, as 14995961764 + 27326073636 = 122458^2 + 165306^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (42322035401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15238812 + ... + 15241588.

Almost surely, 242322035400 is an apocalyptic number.

42322035400 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 42322035400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49606551540).

42322035400 is an abundant number, since it is smaller than the sum of its proper divisors (56891067680).

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

42322035400 is a wasteful number, since it uses less digits than its factorization.

42322035400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3395 (or 3386 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

Adding to 42322035400 its reverse (453022324), we get a palindrome (42775057724).

The spelling of 42322035400 in words is "forty-two billion, three hundred twenty-two million, thirty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 181 200 362 421 724 842 905 1448 1684 1810 2105 2777 3368 3620 4210 4525 5554 7240 8420 9050 10525 11108 13885 16840 18100 21050 22216 27770 36200 42100 55540 69425 76201 84200 111080 138850 152402 277700 304804 381005 502637 555400 609608 762010 1005274 1169117 1524020 1905025 2010548 2338234 2513185 3048040 3810050 4021096 4676468 5026370 5845585 7620100 9352936 10052740 11691170 12565925 15240200 20105480 23382340 25131850 29227925 46764680 50263700 58455850 100527400 116911700 211610177 233823400 423220354 846440708 1058050885 1692881416 2116101770 4232203540 5290254425 8464407080 10580508850 21161017700 42322035400