Search a number
-
+
392774198089 = 72132712972
BaseRepresentation
bin1011011011100110010…
…10101010001101001001
31101112211002221121012211
411231303022222031021
522413400143314324
6500234334105121
740243211412100
oct5556312521511
91345732847184
10392774198089
11141635882489
126415734b1a1
132b066615c00
1415020669037
15a33c37a294
hex5b732aa349

392774198089 has 81 divisors (see below), whose sum is σ = 507043514421. Its totient is φ = 303230753280.

The previous prime is 392774198071. The next prime is 392774198189. The reversal of 392774198089 is 980891477293.

The square root of 392774198089 is 626717.

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 71761301689 + 321012896400 = 267883^2 + 566580^2 .

It is not a de Polignac number, because 392774198089 - 27 = 392774197961 is a prime.

It is a super-2 number, since 2×3927741980892 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (392774198029) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4049218489 + ... + 4049218585.

Almost surely, 2392774198089 is an apocalyptic number.

392774198089 is the 626717-th square number.

392774198089 is the 313359-th centered octagonal number.

It is an amenable number.

392774198089 is a deficient number, since it is larger than the sum of its proper divisors (114269316332).

392774198089 is an frugal number, since it uses more digits than its factorization.

392774198089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 67.

The spelling of 392774198089 in words is "three hundred ninety-two billion, seven hundred seventy-four million, one hundred ninety-eight thousand, eighty-nine".

Divisors: 1 7 13 49 71 91 97 169 497 637 679 923 1183 1261 3479 4753 5041 6461 6887 8281 8827 9409 11999 16393 35287 45227 48209 61789 65533 65863 83993 89531 114751 122317 247009 337463 458731 461041 488977 587951 626717 668039 803257 851929 856219 1163903 1590121 3211117 3422839 4387019 4676273 5963503 5993533 6356701 8147321 8684507 11130847 23959873 32733911 41744521 44496907 47430769 57031247 60791549 77915929 82637113 112898591 311478349 332015383 425540843 578459791 616599997 790290137 2324107681 4049218537 4316199979 5532030959 8015799961 30213399853 56110599727 392774198089