Search a number
-
+
57941304100 = 2252240712
BaseRepresentation
bin110101111101100100…
…100010001100100100
312112120000210012212221
4311331210202030210
51422130433212400
642341243122124
74120560646561
oct657544421444
9175500705787
1057941304100
11226333a0399
12b290513344
1356050a1634
142b392b9868
151791b48c1a
hexd7d922324

57941304100 has 27 divisors (see below), whose sum is σ = 125737853521. Its totient is φ = 23175558800.

The previous prime is 57941304089. The next prime is 57941304103. The reversal of 57941304100 is 140314975.

The square root of 57941304100 is 240710.

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., 20858869476 + 37082434624 = 144426^2 + 192568^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (57941304103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2395065 + ... + 2419135.

Almost surely, 257941304100 is an apocalyptic number.

57941304100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

57941304100 is the 240710-th square number.

It is an amenable number.

57941304100 is an abundant number, since it is smaller than the sum of its proper divisors (67796549421).

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

57941304100 is an frugal number, since it uses more digits than its factorization.

57941304100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48156 (or 24078 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The spelling of 57941304100 in words is "fifty-seven billion, nine hundred forty-one million, three hundred four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 24071 48142 96284 120355 240710 481420 601775 1203550 2407100 579413041 1158826082 2317652164 2897065205 5794130410 11588260820 14485326025 28970652050 57941304100