Search a number
-
+
2976357136 = 242325932
BaseRepresentation
bin1011000101100111…
…1001101100010000
321200102112121102111
42301121321230100
522043421412021
61211201355104
7133520422024
oct26131715420
97612477374
102976357136
111298092195
126b0938a94
13385826c8c
14203410384
151264738e1
hexb1679b10

2976357136 has 45 divisors (see below), whose sum is σ = 6038501749. Its totient is φ = 1421074688.

The previous prime is 2976357121. The next prime is 2976357143. The reversal of 2976357136 is 6317536792.

The square root of 2976357136 is 54556.

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., 1830128400 + 1146228736 = 42780^2 + 33856^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2976357136.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5018856 + ... + 5019448.

Almost surely, 22976357136 is an apocalyptic number.

2976357136 is the 54556-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2976357136

2976357136 is an abundant number, since it is smaller than the sum of its proper divisors (3062144613).

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

2976357136 is an frugal number, since it uses more digits than its factorization.

2976357136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240 (or 618 counting only the distinct ones).

The product of its digits is 1428840, while the sum is 49.

The cubic root of 2976357136 is about 1438.4508056366.

Multiplying 2976357136 by its sum of digits (49), we get a square (145841499664 = 3818922).

The spelling of 2976357136 in words is "two billion, nine hundred seventy-six million, three hundred fifty-seven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 23 46 92 184 368 529 593 1058 1186 2116 2372 4232 4744 8464 9488 13639 27278 54556 109112 218224 313697 351649 627394 703298 1254788 1406596 2509576 2813192 5019152 5626384 8087927 16175854 32351708 64703416 129406832 186022321 372044642 744089284 1488178568 2976357136