Search a number
-
+
2826707472 = 2432313371879
BaseRepresentation
bin1010100001111100…
…0010001000010000
321021222221121200100
42220133002020100
521242114114342
61144254052400
7130022421441
oct25037021020
97258847610
102826707472
11122066a186
1266a7aa100
1336081b694
141cb5b72c8
15118262e4c
hexa87c2210

2826707472 has 120 divisors (see below), whose sum is σ = 8194634240. Its totient is φ = 908651520.

The previous prime is 2826707461. The next prime is 2826707473. The reversal of 2826707472 is 2747076282.

It is not an unprimeable number, because it can be changed into a prime (2826707473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1503429 + ... + 1505307.

Almost surely, 22826707472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2826707472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4097317120).

2826707472 is an abundant number, since it is smaller than the sum of its proper divisors (5367926768).

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

2826707472 is a wasteful number, since it uses less digits than its factorization.

2826707472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2261 (or 2252 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The square root of 2826707472 is about 53166.7891827220. The cubic root of 2826707472 is about 1413.9268954774.

The spelling of 2826707472 in words is "two billion, eight hundred twenty-six million, seven hundred seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 337 372 496 558 674 744 1011 1116 1348 1488 1879 2022 2232 2696 3033 3758 4044 4464 5392 5637 6066 7516 8088 10447 11274 12132 15032 16176 16911 20894 22548 24264 30064 31341 33822 41788 45096 48528 58249 62682 67644 83576 90192 94023 116498 125364 135288 167152 174747 188046 232996 250728 270576 349494 376092 465992 501456 524241 633223 698988 752184 931984 1048482 1266446 1397976 1504368 1899669 2096964 2532892 2795952 3799338 4193928 5065784 5699007 7598676 8387856 10131568 11398014 15197352 19629913 22796028 30394704 39259826 45592056 58889739 78519652 91184112 117779478 157039304 176669217 235558956 314078608 353338434 471117912 706676868 942235824 1413353736 2826707472