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2940456992 = 251135923269
BaseRepresentation
bin1010111101000011…
…1101000000100000
321120220222200200112
42233100331000200
522010224110432
61203440110452
7132603320624
oct25720750040
97526880615
102940456992
1112798a1950
126a0905428
1337b2675a5
141dc747184
151232317b2
hexaf43d020

2940456992 has 48 divisors (see below), whose sum is σ = 6333163200. Its totient is φ = 1332791040.

The previous prime is 2940456991. The next prime is 2940457021. The reversal of 2940456992 is 2996540492.

It is a self number, because there is not a number n which added to its sum of digits gives 2940456992.

It is not an unprimeable number, because it can be changed into a prime (2940456991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114734 + ... + 138002.

It is an arithmetic number, because the mean of its divisors is an integer number (131940900).

Almost surely, 22940456992 is an apocalyptic number.

2940456992 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2940456992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3166581600).

2940456992 is an abundant number, since it is smaller than the sum of its proper divisors (3392706208).

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

2940456992 is a wasteful number, since it uses less digits than its factorization.

2940456992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23649 (or 23641 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 50.

The square root of 2940456992 is about 54225.9807841223. The cubic root of 2940456992 is about 1432.6439734400.

The spelling of 2940456992 in words is "two billion, nine hundred forty million, four hundred fifty-six thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 359 718 1436 2872 3949 5744 7898 11488 15796 23269 31592 46538 63184 93076 126368 186152 255959 372304 511918 744608 1023836 2047672 4095344 8190688 8353571 16707142 33414284 66828568 91889281 133657136 183778562 267314272 367557124 735114248 1470228496 2940456992