Search a number
-
+
9461452900 = 22527121372
BaseRepresentation
bin10001100111111001…
…00101000001100100
3220102101101121101111
420303330211001210
5123334112443100
64202503434404
7453315010534
oct106374450144
926371347344
109461452900
11401581a669
121a00755a04
13b7a259c53
1465a8154c4
153a597d6ba
hex233f25064

9461452900 has 81 divisors (see below), whose sum is σ = 20977713547. Its totient is φ = 3704041600.

The previous prime is 9461452853. The next prime is 9461452919. The reversal of 9461452900 is 92541649.

The square root of 9461452900 is 97270.

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

It can be written as a sum of positive squares in 4 ways, for example, as 27604516 + 9433848384 = 5254^2 + 97128^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 69061632 + ... + 69061768.

Almost surely, 29461452900 is an apocalyptic number.

9461452900 is the 97270-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9461452900

9461452900 is an abundant number, since it is smaller than the sum of its proper divisors (11516260647).

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

9461452900 is a wasteful number, since it uses less digits than its factorization.

9461452900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The cubic root of 9461452900 is about 2115.0433701312.

The spelling of 9461452900 in words is "nine billion, four hundred sixty-one million, four hundred fifty-two thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 71 100 137 142 274 284 355 548 685 710 1370 1420 1775 2740 3425 3550 5041 6850 7100 9727 10082 13700 18769 19454 20164 25205 37538 38908 48635 50410 75076 93845 97270 100820 126025 187690 194540 243175 252050 375380 469225 486350 504100 690617 938450 972700 1332599 1381234 1876900 2665198 2762468 3453085 5330396 6662995 6906170 13325990 13812340 17265425 26651980 33314975 34530850 66629950 69061700 94614529 133259900 189229058 378458116 473072645 946145290 1892290580 2365363225 4730726450 9461452900