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2873388816 = 243414892
BaseRepresentation
bin1010101101000100…
…0110111100010000
321102020210021110000
42223101012330100
521341041420231
61153042410000
7131130254604
oct25321067420
97366707400
102873388816
111244a53601
12682360900
1336a3b438c
141d3889504
1511c3d46e6
hexab446f10

2873388816 has 75 divisors (see below), whose sum is σ = 8322009861. Its totient is φ = 957153024.

The previous prime is 2873388811. The next prime is 2873388821. The reversal of 2873388816 is 6188833782.

The square root of 2873388816 is 53604.

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

It is an interprime number because it is at equal distance from previous prime (2873388811) and next prime (2873388821).

It can be written as a sum of positive squares in only one way, i.e., 615238416 + 2258150400 = 24804^2 + 47520^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2873388811) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1929000 + ... + 1930488.

Almost surely, 22873388816 is an apocalyptic number.

2873388816 is the 53604-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2873388816

2873388816 is an abundant number, since it is smaller than the sum of its proper divisors (5448621045).

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

2873388816 is an frugal number, since it uses more digits than its factorization.

2873388816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2998 (or 1494 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The cubic root of 2873388816 is about 1421.6678175097.

The spelling of 2873388816 in words is "two billion, eight hundred seventy-three million, three hundred eighty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 1489 2978 4467 5956 8934 11912 13401 17868 23824 26802 35736 40203 53604 71472 80406 107208 120609 160812 214416 241218 321624 482436 643248 964872 1929744 2217121 4434242 6651363 8868484 13302726 17736968 19954089 26605452 35473936 39908178 53210904 59862267 79816356 106421808 119724534 159632712 179586801 239449068 319265424 359173602 478898136 718347204 957796272 1436694408 2873388816