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2989817072 = 241123121607
BaseRepresentation
bin1011001000110100…
…1111110011110000
321201100212102222122
42302031033303300
522110343121242
61212402053412
7134043011564
oct26215176360
97640772878
102989817072
1112a4745900
126b534a268
1338855a638
142051156a4
15127731ad2
hexb234fcf0

2989817072 has 90 divisors (see below), whose sum is σ = 6583375512. Its totient is φ = 1314350400.

The previous prime is 2989817069. The next prime is 2989817087. The reversal of 2989817072 is 2707189892.

It is a happy number.

It is a super-2 number, since 2×29898170722 = 17878012248045306368, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1859693 + ... + 1861299.

Almost surely, 22989817072 is an apocalyptic number.

2989817072 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2989817072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3291687756).

2989817072 is an abundant number, since it is smaller than the sum of its proper divisors (3593558440).

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

2989817072 is a wasteful number, since it uses less digits than its factorization.

2989817072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1699 (or 1651 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 53.

The square root of 2989817072 is about 54679.2197457133. The cubic root of 2989817072 is about 1440.6159067986.

The spelling of 2989817072 in words is "two billion, nine hundred eighty-nine million, eight hundred seventeen thousand, seventy-two".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 121 124 176 242 248 341 484 496 682 961 968 1364 1607 1922 1936 2728 3214 3751 3844 5456 6428 7502 7688 10571 12856 15004 15376 17677 21142 25712 30008 35354 42284 49817 60016 70708 84568 99634 116281 141416 169136 194447 199268 232562 282832 388894 398536 465124 547987 777788 797072 930248 1095974 1544327 1555576 1860496 2191948 3088654 3111152 4383896 6027857 6177308 8767792 12055714 12354616 16987597 24111428 24709232 33975194 48222856 67950388 96445712 135900776 186863567 271801552 373727134 747454268 1494908536 2989817072