Search a number
-
+
2983781376 = 210325692
BaseRepresentation
bin1011000111011000…
…1110010000000000
321200221111210120100
42301312032100000
522102322001001
61212024442400
7133640503032
oct26166162000
97627453510
102983781376
1112a12a3124
126b3319400
13387226314
142043c3c52
15126e3d586
hexb1d8e400

2983781376 has 99 divisors (see below), whose sum is σ = 8630772241. Its totient is φ = 992845824.

The previous prime is 2983781371. The next prime is 2983781419. The reversal of 2983781376 is 6731873892.

The square root of 2983781376 is 54624.

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., 491774976 + 2492006400 = 22176^2 + 49920^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2983781371) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5243620 + ... + 5244188.

Almost surely, 22983781376 is an apocalyptic number.

2983781376 is the 54624-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2983781376

2983781376 is an abundant number, since it is smaller than the sum of its proper divisors (5646990865).

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

2983781376 is an frugal number, since it uses more digits than its factorization.

2983781376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164 (or 574 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The cubic root of 2983781376 is about 1439.6458388288.

The spelling of 2983781376 in words is "two billion, nine hundred eighty-three million, seven hundred eighty-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 569 576 768 1024 1138 1152 1536 1707 2276 2304 3072 3414 4552 4608 5121 6828 9104 9216 10242 13656 18208 20484 27312 36416 40968 54624 72832 81936 109248 145664 163872 218496 291328 323761 327744 436992 582656 647522 655488 873984 971283 1295044 1310976 1747968 1942566 2590088 2621952 2913849 3885132 5180176 5243904 5827698 7770264 10360352 11655396 15540528 20720704 23310792 31081056 41441408 46621584 62162112 82882816 93243168 124324224 165765632 186486336 248648448 331531264 372972672 497296896 745945344 994593792 1491890688 2983781376