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375228672 = 2837213259
BaseRepresentation
bin10110010111011…
…000100100000000
3222011001120222020
4112113120210000
51232024304142
6101122241440
712204251100
oct2627304400
9864046866
10375228672
11182896945
12a57b6280
135c97a500
1437b97200
1522e1dcec
hex165d8900

375228672 has 324 divisors, whose sum is σ = 1279257840. Its totient is φ = 97284096.

The previous prime is 375228643. The next prime is 375228673. The reversal of 375228672 is 276822573.

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (282240) is a multiple of the sum of its prime divisors (84).

It is not an unprimeable number, because it can be changed into a prime (375228673) 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 35 ways as a sum of consecutive naturals, for example, 6359779 + ... + 6359837.

Almost surely, 2375228672 is an apocalyptic number.

375228672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 375228672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639628920).

375228672 is an abundant number, since it is smaller than the sum of its proper divisors (904029168).

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

375228672 is a wasteful number, since it uses less digits than its factorization.

375228672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 84 counting only the distinct ones).

The product of its digits is 282240, while the sum is 42.

The square root of 375228672 is about 19370.8201168665. The cubic root of 375228672 is about 721.2713340779.

The spelling of 375228672 in words is "three hundred seventy-five million, two hundred twenty-eight thousand, six hundred seventy-two".