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2046264132 = 22311371273299
BaseRepresentation
bin111100111110111…
…1000001101000100
312021121101222200110
41321331320031010
513142320423012
6535014313020
7101464646433
oct17175701504
95247358613
102046264132
11960076590
12491358770
13267c251a3
14155a9d11a
15be9a073c
hex79f78344

2046264132 has 96 divisors (see below), whose sum is σ = 5393203200. Its totient is φ = 598389120.

The previous prime is 2046264127. The next prime is 2046264133. The reversal of 2046264132 is 2314626402.

It is a self number, because there is not a number n which added to its sum of digits gives 2046264132.

It is not an unprimeable number, because it can be changed into a prime (2046264133) by changing a digit.

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, 618619 + ... + 621917.

It is an arithmetic number, because the mean of its divisors is an integer number (56179200).

Almost surely, 22046264132 is an apocalyptic number.

2046264132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2046264132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2696601600).

2046264132 is an abundant number, since it is smaller than the sum of its proper divisors (3346939068).

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

2046264132 is a wasteful number, since it uses less digits than its factorization.

2046264132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3481 (or 3479 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 2046264132 is about 45235.6511172327. The cubic root of 2046264132 is about 1269.5619486612.

The spelling of 2046264132 in words is "two billion, forty-six million, two hundred sixty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 127 132 148 222 254 381 407 444 508 762 814 1221 1397 1524 1628 2442 2794 3299 4191 4699 4884 5588 6598 8382 9398 9897 13196 14097 16764 18796 19794 28194 36289 39588 51689 56388 72578 103378 108867 122063 145156 155067 206756 217734 244126 310134 366189 418973 435468 488252 620268 732378 837946 1256919 1342693 1464756 1675892 2513838 2685386 4028079 4608703 5027676 5370772 8056158 9217406 13826109 15502001 16112316 18434812 27652218 31004002 46506003 55304436 62008004 93012006 170522011 186024012 341044022 511566033 682088044 1023132066 2046264132