Search a number
-
+
379404257764 = 2272439972
BaseRepresentation
bin1011000010101100100…
…00011000100111100100
31100021022100001021000211
411201112100120213210
522204004442222024
6450143525545204
736260663660200
oct5412620304744
91307270037024
10379404257764
111369a48a3424
1261645875204
1329a156c8b0c
1414512b21b00
159d08701594
hex58564189e4

379404257764 has 27 divisors (see below), whose sum is σ = 772376222793. Its totient is φ = 162598129008.

The previous prime is 379404257747. The next prime is 379404257767. The reversal of 379404257764 is 467752404973.

The square root of 379404257764 is 615958.

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., 90811822500 + 288592435264 = 301350^2 + 537208^2 .

It is a junction number, because it is equal to n+sod(n) for n = 379404257699 and 379404257708.

It is not an unprimeable number, because it can be changed into a prime (379404257767) 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, 8601414 + ... + 8645410.

Almost surely, 2379404257764 is an apocalyptic number.

379404257764 is the 615958-th square number.

It is an amenable number.

379404257764 is an abundant number, since it is smaller than the sum of its proper divisors (392971965029).

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

379404257764 is an frugal number, since it uses more digits than its factorization.

379404257764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88012 (or 44006 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 58.

The spelling of 379404257764 in words is "three hundred seventy-nine billion, four hundred four million, two hundred fifty-seven thousand, seven hundred sixty-four".

Divisors: 1 2 4 7 14 28 49 98 196 43997 87994 175988 307979 615958 1231916 2155853 4311706 8623412 1935736009 3871472018 7742944036 13550152063 27100304126 54200608252 94851064441 189702128882 379404257764