Search a number
-
+
379352519056 = 2472219972
BaseRepresentation
bin1011000010100110010…
…11000001000110010000
31100021011201200122212101
411201103023001012100
522203403221102211
6450134441010144
736256465131400
oct5412313010620
91307151618771
10379352519056
11136978675365
1261630483954
1329a07a821b4
1414509cd4800
159d03dd15c1
hex58532c1190

379352519056 has 45 divisors (see below), whose sum is σ = 855033642369. Its totient is φ = 162572260032.

The previous prime is 379352519053. The next prime is 379352519069. The reversal of 379352519056 is 650915253973.

The square root of 379352519056 is 615916.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 247426656400 + 131925862656 = 497420^2 + 363216^2 .

It is a super-2 number, since 2×3793525190562 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 379352518988 and 379352519006.

It is not an unprimeable number, because it can be changed into a prime (379352519053) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 17234650 + ... + 17256646.

Almost surely, 2379352519056 is an apocalyptic number.

379352519056 is the 615916-th square number.

It is an amenable number.

379352519056 is an abundant number, since it is smaller than the sum of its proper divisors (475681123313).

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

379352519056 is an frugal number, since it uses more digits than its factorization.

379352519056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44016 (or 22006 counting only the distinct ones).

The product of its (nonzero) digits is 7654500, while the sum is 55.

The spelling of 379352519056 in words is "three hundred seventy-nine billion, three hundred fifty-two million, five hundred nineteen thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 21997 43994 87988 153979 175976 307958 351952 615916 1077853 1231832 2155706 2463664 4311412 8622824 17245648 483868009 967736018 1935472036 3387076063 3870944072 6774152126 7741888144 13548304252 23709532441 27096608504 47419064882 54193217008 94838129764 189676259528 379352519056