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2084046672 = 243318771597
BaseRepresentation
bin111110000111000…
…0000011101010000
312101020111112120210
41330032000131100
513232003443142
6542444204120
7102434050551
oct17416003520
95336445523
102084046672
1197a432124
124a1b39640
132729c3616
1415aad6328
15c2e6549c
hex7c380750

2084046672 has 80 divisors (see below), whose sum is σ = 5567278592. Its totient is φ = 671086080.

The previous prime is 2084046659. The next prime is 2084046697. The reversal of 2084046672 is 2766404802.

It is a self number, because there is not a number n which added to its sum of digits gives 2084046672.

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, 1304178 + ... + 1305774.

Almost surely, 22084046672 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 2084046672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2783639296).

2084046672 is an abundant number, since it is smaller than the sum of its proper divisors (3483231920).

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

2084046672 is a wasteful number, since it uses less digits than its factorization.

2084046672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2516 (or 2510 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The square root of 2084046672 is about 45651.3600235524. The cubic root of 2084046672 is about 1277.3281408614.

The spelling of 2084046672 in words is "two billion, eighty-four million, forty-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 877 1488 1597 1754 2631 3194 3508 4791 5262 6388 7016 9582 10524 12776 14032 19164 21048 25552 27187 38328 42096 49507 54374 76656 81561 99014 108748 148521 163122 198028 217496 297042 326244 396056 434992 594084 652488 792112 1188168 1304976 1400569 2376336 2801138 4201707 5602276 8403414 11204552 16806828 22409104 33613656 43417639 67227312 86835278 130252917 173670556 260505834 347341112 521011668 694682224 1042023336 2084046672