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375268608 = 283211131767
BaseRepresentation
bin10110010111100…
…010010100000000
3222011010121202100
4112113202110000
51232032043413
6101123150400
712204505401
oct2627422400
9864117670
10375268608
11182913950
12a5815400
135c992740
1437ba79a8
1522e2aa73
hex165e2500

375268608 has 432 divisors, whose sum is σ = 1366013376. Its totient is φ = 97320960.

The previous prime is 375268603. The next prime is 375268627. The reversal of 375268608 is 806862573.

375268608 is a `hidden beast` number, since 37 + 5 + 2 + 6 + 8 + 608 = 666.

375268608 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (375268603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5600991 + ... + 5601057.

It is an arithmetic number, because the mean of its divisors is an integer number (3162068).

Almost surely, 2375268608 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 375268608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683006688).

375268608 is an abundant number, since it is smaller than the sum of its proper divisors (990744768).

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

375268608 is a wasteful number, since it uses less digits than its factorization.

375268608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 375268608 is about 19371.8509182783. The cubic root of 375268608 is about 721.2969217372.

The spelling of 375268608 in words is "three hundred seventy-five million, two hundred sixty-eight thousand, six hundred eight".