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40525906208 = 2519218732
BaseRepresentation
bin100101101111100010…
…000100000100100000
310212121022122100012012
4211233202010010200
51130444112444313
630341202452052
72633161343024
oct455742040440
9125538570165
1040525906208
11162068aa177
127a30064028
133a8b008178
141d66388384
1510c2c6ada8
hex96f884120

40525906208 has 54 divisors (see below), whose sum is σ = 84250602009. Its totient is φ = 19186232832.

The previous prime is 40525906177. The next prime is 40525906283. The reversal of 40525906208 is 80260952504.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 26774122384 + 13751783824 = 163628^2 + 117268^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=142348.

It is a super-2 number, since 2×405259062082 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 21635960 + ... + 21637832.

Almost surely, 240525906208 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 40525906208

40525906208 is an abundant number, since it is smaller than the sum of its proper divisors (43724695801).

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

40525906208 is an frugal number, since it uses more digits than its factorization.

40525906208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3794 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 41.

The spelling of 40525906208 in words is "forty billion, five hundred twenty-five million, nine hundred six thousand, two hundred eight".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 361 608 722 1444 1873 2888 3746 5776 7492 11552 14984 29968 35587 59936 71174 142348 284696 569392 676153 1138784 1352306 2704612 3508129 5409224 7016258 10818448 14032516 21636896 28065032 56130064 66654451 112260128 133308902 266617804 533235608 1066471216 1266434569 2132942432 2532869138 5065738276 10131476552 20262953104 40525906208