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2989797408 = 2532134119477
BaseRepresentation
bin1011001000110100…
…1011000000100000
321201100211110000100
42302031023000200
522110342004113
61212401422400
7134042600343
oct26215130040
97640743010
102989797408
1112a4732054
126b533aa00
133885516c0
1420510c45a
1512772ad73
hexb234b020

2989797408 has 144 divisors (see below), whose sum is σ = 9380059416. Its totient is φ = 897454080.

The previous prime is 2989797401. The next prime is 2989797431. The reversal of 2989797408 is 8047979892.

It can be written as a sum of positive squares in 4 ways, for example, as 1569110544 + 1420686864 = 39612^2 + 37692^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×29897974083 (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2989797401) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 143766 + ... + 163242.

Almost surely, 22989797408 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 2989797408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4690029708).

2989797408 is an abundant number, since it is smaller than the sum of its proper divisors (6390262008).

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

2989797408 is a wasteful number, since it uses less digits than its factorization.

2989797408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19547 (or 19536 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

The square root of 2989797408 is about 54679.0399330493. The cubic root of 2989797408 is about 1440.6127484857.

The spelling of 2989797408 in words is "two billion, nine hundred eighty-nine million, seven hundred ninety-seven thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 41 48 52 72 78 82 96 104 117 123 144 156 164 208 234 246 288 312 328 369 416 468 492 533 624 656 738 936 984 1066 1248 1312 1476 1599 1872 1968 2132 2952 3198 3744 3936 4264 4797 5904 6396 8528 9594 11808 12792 17056 19188 19477 25584 38376 38954 51168 58431 76752 77908 116862 153504 155816 175293 233724 253201 311632 350586 467448 506402 623264 701172 759603 798557 934896 1012804 1402344 1519206 1597114 1869792 2025608 2278809 2395671 2804688 3038412 3194228 4051216 4557618 4791342 5609376 6076824 6388456 7187013 8102432 9115236 9582684 10381241 12153648 12776912 14374026 18230472 19165368 20762482 24307296 25553824 28748052 31143723 36460944 38330736 41524964 57496104 62287446 72921888 76661472 83049928 93431169 114992208 124574892 166099856 186862338 229984416 249149784 332199712 373724676 498299568 747449352 996599136 1494898704 2989797408