Search a number
-
+
379095552 = 293511277
BaseRepresentation
bin10110100110001…
…000101000000000
3222102100001100000
4112212020220000
51234022024202
6101341200000
712252154563
oct2646105000
9872301300
10379095552
11184a98110
12a6b60000
13607025c4
14384c24da
152343491c
hex16988a00

379095552 has 240 divisors, whose sum is σ = 1242232992. Its totient is φ = 114462720.

The previous prime is 379095547. The next prime is 379095583. The reversal of 379095552 is 255590973.

379095552 is a `hidden beast` number, since 3 + 7 + 9 + 0 + 95 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 379095498 and 379095507.

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, 1368438 + ... + 1368714.

Almost surely, 2379095552 is an apocalyptic number.

379095552 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 379095552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621116496).

379095552 is an abundant number, since it is smaller than the sum of its proper divisors (863137440).

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

379095552 is an equidigital number, since it uses as much as digits as its factorization.

379095552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 425250, while the sum is 45.

The square root of 379095552 is about 19470.3762675507. The cubic root of 379095552 is about 723.7405335818.

The spelling of 379095552 in words is "three hundred seventy-nine million, ninety-five thousand, five hundred fifty-two".