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379552 = 2529409
BaseRepresentation
bin1011100101010100000
3201021122111
41130222200
544121202
612045104
73140365
oct1345240
9637574
10379552
1123a188
12163794
131039b4
149c46c
15776d7
hex5caa0

379552 has 24 divisors (see below), whose sum is σ = 774900. Its totient is φ = 182784.

The previous prime is 379549. The next prime is 379571. The reversal of 379552 is 255973.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 355216 + 24336 = 596^2 + 156^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 724 + ... + 1132.

2379552 is an apocalyptic number.

379552 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 379552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387450).

379552 is an abundant number, since it is smaller than the sum of its proper divisors (395348).

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

379552 is a wasteful number, since it uses less digits than its factorization.

379552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 440 counting only the distinct ones).

The product of its digits is 9450, while the sum is 31.

The square root of 379552 is about 616.0779171501. The cubic root of 379552 is about 72.4030889070.

The spelling of 379552 in words is "three hundred seventy-nine thousand, five hundred fifty-two".

Divisors: 1 2 4 8 16 29 32 58 116 232 409 464 818 928 1636 3272 6544 11861 13088 23722 47444 94888 189776 379552