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2084729088 = 28313208807
BaseRepresentation
bin111110001000010…
…0111000100000000
312101021210012200110
41330100213010000
513232142312323
6542510551320
7102442622241
oct17420470400
95337705613
102084729088
1197a858902
124a2208540
13272ba2110
1415ac32cc8
15c304c793
hex7c427100

2084729088 has 72 divisors (see below), whose sum is σ = 5975249728. Its totient is φ = 641452032.

The previous prime is 2084729071. The next prime is 2084729113. The reversal of 2084729088 is 8809274802.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94420 + ... + 114387.

Almost surely, 22084729088 is an apocalyptic number.

It is an amenable number.

2084729088 is an abundant number, since it is smaller than the sum of its proper divisors (3890520640).

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

2084729088 is a wasteful number, since it uses less digits than its factorization.

2084729088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208839 (or 208825 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The square root of 2084729088 is about 45658.8336250500. The cubic root of 2084729088 is about 1277.4675449748.

The spelling of 2084729088 in words is "two billion, eighty-four million, seven hundred twenty-nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 624 768 832 1248 1664 2496 3328 4992 9984 208807 417614 626421 835228 1252842 1670456 2505684 2714491 3340912 5011368 5428982 6681824 8143473 10022736 10857964 13363648 16286946 20045472 21715928 26727296 32573892 40090944 43431856 53454592 65147784 80181888 86863712 130295568 160363776 173727424 260591136 347454848 521182272 694909696 1042364544 2084729088