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4465290375 = 335372133167
BaseRepresentation
bin1000010100010011…
…01110110010000111
3102112012020020212000
410022021232302013
533121103243000
62015030400343
7215440225200
oct41211566207
912465206760
104465290375
1119915a3827
12a475000b3
13562142c70
143050725a7
151b2034000
hex10a26ec87

4465290375 has 384 divisors, whose sum is σ = 10835435520. Its totient is φ = 1796256000.

The previous prime is 4465290367. The next prime is 4465290383. The reversal of 4465290375 is 5730925644.

4465290375 is a `hidden beast` number, since 446 + 52 + 90 + 3 + 75 = 666.

It is an interprime number because it is at equal distance from previous prime (4465290367) and next prime (4465290383).

It is not a de Polignac number, because 4465290375 - 23 = 4465290367 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 4465290375.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 66646092 + ... + 66646158.

It is an arithmetic number, because the mean of its divisors is an integer number (28217280).

Almost surely, 24465290375 is an apocalyptic number.

4465290375 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4465290375 is an abundant number, since it is smaller than the sum of its proper divisors (6370145145).

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

4465290375 is a wasteful number, since it uses less digits than its factorization.

4465290375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The square root of 4465290375 is about 66822.8282475383. The cubic root of 4465290375 is about 1646.7078987355.

The spelling of 4465290375 in words is "four billion, four hundred sixty-five million, two hundred ninety thousand, three hundred seventy-five".