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42000326208 = 2632174289249
BaseRepresentation
bin100111000111011010…
…100001111001000000
311000102002000122012100
4213013122201321000
51142004040414313
631143352430400
73014543611431
oct470732417100
9130362018170
1042000326208
11168a30a87a5
1281819a8400
133c64612239
14206610d488
15115c411173
hex9c76a1e40

42000326208 has 84 divisors (see below), whose sum is σ = 127467931500. Its totient is φ = 13176569856.

The previous prime is 42000326143. The next prime is 42000326209. The reversal of 42000326208 is 80262300024.

42000326208 is a `hidden beast` number, since 4 + 2 + 0 + 0 + 0 + 32 + 620 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 33471434304 + 8528891904 = 182952^2 + 92352^2 .

It is not an unprimeable number, because it can be changed into a prime (42000326209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2134833 + ... + 2154416.

It is an arithmetic number, because the mean of its divisors is an integer number (1517475375).

Almost surely, 242000326208 is an apocalyptic number.

42000326208 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42000326208 is an abundant number, since it is smaller than the sum of its proper divisors (85467605292).

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

42000326208 is a wasteful number, since it uses less digits than its factorization.

42000326208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4289284 (or 4289271 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 42000326208 in words is "forty-two billion, three hundred twenty-six thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 136 144 153 192 204 272 288 306 408 544 576 612 816 1088 1224 1632 2448 3264 4896 9792 4289249 8578498 12867747 17156996 25735494 34313992 38603241 51470988 68627984 72917233 77206482 102941976 137255968 145834466 154412964 205883952 218751699 274511936 291668932 308825928 411767904 437503398 583337864 617651856 656255097 823535808 875006796 1166675728 1235303712 1312510194 1750013592 2333351456 2470607424 2625020388 3500027184 4666702912 5250040776 7000054368 10500081552 14000108736 21000163104 42000326208