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387027072 = 273523541
BaseRepresentation
bin10111000100011…
…001000010000000
3222222021000100000
4113010121002000
51243034331242
6102223200000
712406450545
oct2704310200
9888230300
10387027072
11189515193
12a9746000
136224b803
1439588bcc
1523e9ea4c
hex17119080

387027072 has 192 divisors, whose sum is σ = 1207402560. Its totient is φ = 123171840.

The previous prime is 387027061. The next prime is 387027089. The reversal of 387027072 is 270720783.

387027072 is a `hidden beast` number, since 387 + 0 + 270 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 715122 + ... + 715662.

It is an arithmetic number, because the mean of its divisors is an integer number (6288555).

Almost surely, 2387027072 is an apocalyptic number.

387027072 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 387027072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603701280).

387027072 is an abundant number, since it is smaller than the sum of its proper divisors (820375488).

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

387027072 is an equidigital number, since it uses as much as digits as its factorization.

387027072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 387027072 is about 19673.0036344225. The cubic root of 387027072 is about 728.7531552615.

The spelling of 387027072 in words is "three hundred eighty-seven million, twenty-seven thousand, seventy-two".