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406696608 = 25321412141
BaseRepresentation
bin11000001111011…
…011001010100000
31001100021022212100
4120033123022200
51313103242413
6104204530400
713035602253
oct3017331240
91040238770
10406696608
1119962a1aa
12b4250a00
13663476a6
143c02909a
1525a87a73
hex183db2a0

406696608 has 36 divisors (see below), whose sum is σ = 1156544298. Its totient is φ = 135565440.

The previous prime is 406696601. The next prime is 406696643. The reversal of 406696608 is 806696604.

It can be written as a sum of positive squares in only one way, i.e., 402082704 + 4613904 = 20052^2 + 2148^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (406696601) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 705783 + ... + 706358.

Almost surely, 2406696608 is an apocalyptic number.

406696608 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

406696608 is an abundant number, since it is smaller than the sum of its proper divisors (749847690).

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

406696608 is a wasteful number, since it uses less digits than its factorization.

406696608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412157 (or 1412146 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 406696608 is about 20166.7203084686. The cubic root of 406696608 is about 740.8953175947.

The spelling of 406696608 in words is "four hundred six million, six hundred ninety-six thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1412141 2824282 4236423 5648564 8472846 11297128 12709269 16945692 22594256 25418538 33891384 45188512 50837076 67782768 101674152 135565536 203348304 406696608