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395089416 = 23325487353
BaseRepresentation
bin10111100011001…
…001011000001000
31000112102121210100
4113203021120020
51302120330131
6103112045400
712535130121
oct2743113010
91015377710
10395089416
11193021587
12b0393860
1363b12427
143a687048
1524a437e6
hex178c9608

395089416 has 24 divisors (see below), whose sum is σ = 1070034030. Its totient is φ = 131696448.

The previous prime is 395089411. The next prime is 395089459. The reversal of 395089416 is 614980593.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 356076900 + 39012516 = 18870^2 + 6246^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (395089411) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2743605 + ... + 2743748.

Almost surely, 2395089416 is an apocalyptic number.

395089416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

395089416 is an abundant number, since it is smaller than the sum of its proper divisors (674944614).

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

395089416 is a wasteful number, since it uses less digits than its factorization.

395089416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5487365 (or 5487358 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 395089416 is about 19876.8562906713. The cubic root of 395089416 is about 733.7787521758.

The spelling of 395089416 in words is "three hundred ninety-five million, eighty-nine thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 5487353 10974706 16462059 21949412 32924118 43898824 49386177 65848236 98772354 131696472 197544708 395089416