Search a number
-
+
2646324192 = 25367834957
BaseRepresentation
bin1001110110111011…
…1011001111100000
320211102112012100010
42131232323033200
520404424333232
61114331524520
7122402245611
oct23556731740
96742465303
102646324192
111138865596
1261a2b9740
13332342205
141b165dc08
151074d10cc
hex9dbbb3e0

2646324192 has 96 divisors (see below), whose sum is σ = 7136664192. Its totient is φ = 858299904.

The previous prime is 2646324167. The next prime is 2646324217. The reversal of 2646324192 is 2914236462.

It is an interprime number because it is at equal distance from previous prime (2646324167) and next prime (2646324217).

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 2646324192.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 531378 + ... + 536334.

It is an arithmetic number, because the mean of its divisors is an integer number (74340252).

Almost surely, 22646324192 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 2646324192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3568332096).

2646324192 is an abundant number, since it is smaller than the sum of its proper divisors (4490340000).

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

2646324192 is a wasteful number, since it uses less digits than its factorization.

2646324192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5120 (or 5112 counting only the distinct ones).

The product of its digits is 124416, while the sum is 39.

The square root of 2646324192 is about 51442.4357121628. The cubic root of 2646324192 is about 1383.1873730871.

The spelling of 2646324192 in words is "two billion, six hundred forty-six million, three hundred twenty-four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 67 83 96 134 166 201 249 268 332 402 498 536 664 804 996 1072 1328 1608 1992 2144 2656 3216 3984 4957 5561 6432 7968 9914 11122 14871 16683 19828 22244 29742 33366 39656 44488 59484 66732 79312 88976 118968 133464 158624 177952 237936 266928 332119 411431 475872 533856 664238 822862 996357 1234293 1328476 1645724 1992714 2468586 2656952 3291448 3985428 4937172 5313904 6582896 7970856 9874344 10627808 13165792 15941712 19748688 27565877 31883424 39497376 55131754 82697631 110263508 165395262 220527016 330790524 441054032 661581048 882108064 1323162096 2646324192