Search a number
-
+
2641031352 = 2333107229499
BaseRepresentation
bin1001110101101010…
…1111000010111000
320211001120021221000
42131122233002320
520402101000402
61114022245000
7122306252601
oct23532570270
96731507830
102641031352
11113587aa43
12618586760
1333120b05b
141b0a82da8
15106cd7c1c
hex9d6af0b8

2641031352 has 128 divisors (see below), whose sum is σ = 7452000000. Its totient is φ = 866567808.

The previous prime is 2641031347. The next prime is 2641031389. The reversal of 2641031352 is 2531301462.

2641031352 is a `hidden beast` number, since 2 + 641 + 0 + 3 + 13 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5292399 + ... + 5292897.

It is an arithmetic number, because the mean of its divisors is an integer number (58218750).

Almost surely, 22641031352 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 2641031352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3726000000).

2641031352 is an abundant number, since it is smaller than the sum of its proper divisors (4810968648).

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

2641031352 is a wasteful number, since it uses less digits than its factorization.

2641031352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2641031352 is about 51390.9656651828. The cubic root of 2641031352 is about 1382.2645993084.

The spelling of 2641031352 in words is "two billion, six hundred forty-one million, thirty-one thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 107 108 214 216 229 321 428 458 499 642 687 856 916 963 998 1284 1374 1497 1832 1926 1996 2061 2568 2748 2889 2994 3852 3992 4122 4491 5496 5778 5988 6183 7704 8244 8982 11556 11976 12366 13473 16488 17964 23112 24503 24732 26946 35928 49006 49464 53393 53892 73509 98012 106786 107784 114271 147018 160179 196024 213572 220527 228542 294036 320358 342813 427144 441054 457084 480537 588072 640716 661581 685626 882108 914168 961074 1028439 1281432 1323162 1371252 1441611 1764216 1922148 2056878 2646324 2742504 2883222 3085317 3844296 4113756 5292648 5766444 6170634 8227512 11532888 12226997 12341268 24453994 24682536 36680991 48907988 73361982 97815976 110042973 146723964 220085946 293447928 330128919 440171892 660257838 880343784 1320515676 2641031352