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2992382136 = 233331446891
BaseRepresentation
bin1011001001011100…
…0010000010111000
321201112200202121000
42302113002002320
522112022212021
61212533045000
7134103554112
oct26227020270
97645622530
102992382136
1112a6137a97
126b6186760
13388c48023
142055c23b2
15127a8bb26
hexb25c20b8

2992382136 has 64 divisors (see below), whose sum is σ = 8580326400. Its totient is φ = 965282400.

The previous prime is 2992382101. The next prime is 2992382147. The reversal of 2992382136 is 6312832992.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2992382091 and 2992382100.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 216750 + ... + 230141.

It is an arithmetic number, because the mean of its divisors is an integer number (134067600).

Almost surely, 22992382136 is an apocalyptic number.

It is an amenable number.

2992382136 is an abundant number, since it is smaller than the sum of its proper divisors (5587944264).

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

2992382136 is a wasteful number, since it uses less digits than its factorization.

2992382136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446937 (or 446927 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 2992382136 is about 54702.6702821718. The cubic root of 2992382136 is about 1441.0277732159.

The spelling of 2992382136 in words is "two billion, nine hundred ninety-two million, three hundred eighty-two thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 93 108 124 186 216 248 279 372 558 744 837 1116 1674 2232 3348 6696 446891 893782 1340673 1787564 2681346 3575128 4022019 5362692 8044038 10725384 12066057 13853621 16088076 24132114 27707242 32176152 41560863 48264228 55414484 83121726 96528456 110828968 124682589 166243452 249365178 332486904 374047767 498730356 748095534 997460712 1496191068 2992382136