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2990264832 = 29324713807
BaseRepresentation
bin1011001000111011…
…1101001000000000
321201101201012012100
42302032331020000
522111001433312
61212415430400
7134046555162
oct26216751000
97641635170
102990264832
1112a4a21255
126b5525400
13388686399
142051d0932
151277be5dc
hexb23bd200

2990264832 has 120 divisors (see below), whose sum is σ = 8814364416. Its totient is φ = 975476736.

The previous prime is 2990264807. The next prime is 2990264833. The reversal of 2990264832 is 2384620992.

It is not an unprimeable number, because it can be changed into a prime (2990264833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 209673 + ... + 223479.

Almost surely, 22990264832 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 2990264832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4407182208).

2990264832 is an abundant number, since it is smaller than the sum of its proper divisors (5824099584).

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

2990264832 is a wasteful number, since it uses less digits than its factorization.

2990264832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13878 (or 13859 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 2990264832 is about 54683.3140180805. The cubic root of 2990264832 is about 1440.6878195571.

The spelling of 2990264832 in words is "two billion, nine hundred ninety million, two hundred sixty-four thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 64 72 94 96 128 141 144 188 192 256 282 288 376 384 423 512 564 576 752 768 846 1128 1152 1504 1536 1692 2256 2304 3008 3384 4512 4608 6016 6768 9024 12032 13536 13807 18048 24064 27072 27614 36096 41421 54144 55228 72192 82842 108288 110456 124263 165684 216576 220912 248526 331368 441824 497052 648929 662736 883648 994104 1297858 1325472 1767296 1946787 1988208 2595716 2650944 3534592 3893574 3976416 5191432 5301888 5840361 7069184 7787148 7952832 10382864 10603776 11680722 15574296 15905664 20765728 21207552 23361444 31148592 31811328 41531456 46722888 62297184 63622656 83062912 93445776 124594368 166125824 186891552 249188736 332251648 373783104 498377472 747566208 996754944 1495132416 2990264832