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379152 = 24322633
BaseRepresentation
bin1011100100100010000
3201021002200
41130210100
544113102
612043200
73136254
oct1344420
9637080
10379152
11239954
12163500
13103767
149c264
157751c
hex5c910

379152 has 30 divisors (see below), whose sum is σ = 1061502. Its totient is φ = 126336.

The previous prime is 379147. The next prime is 379157. The reversal of 379152 is 251973.

It is an interprime number because it is at equal distance from previous prime (379147) and next prime (379157).

It can be written as a sum of positive squares in only one way, i.e., 266256 + 112896 = 516^2 + 336^2 .

It is not an unprimeable number, because it can be changed into a prime (379157) by changing a digit.

379152 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1173 + ... + 1460.

2379152 is an apocalyptic number.

It is an amenable number.

379152 is an abundant number, since it is smaller than the sum of its proper divisors (682350).

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

379152 is a wasteful number, since it uses less digits than its factorization.

379152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2647 (or 2638 counting only the distinct ones).

The product of its digits is 1890, while the sum is 27.

The square root of 379152 is about 615.7531973120. The cubic root of 379152 is about 72.3776453882.

The spelling of 379152 in words is "three hundred seventy-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2633 5266 7899 10532 15798 21064 23697 31596 42128 47394 63192 94788 126384 189576 379152