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2989008 = 2433111737
BaseRepresentation
bin1011011001101111010000
312121212011000
423121233100
51231122013
6144022000
734256211
oct13315720
95555130
102989008
111761760
121001900
13808659
1457b408
153e0973
hex2d9bd0

2989008 has 160 divisors (see below), whose sum is σ = 10177920. Its totient is φ = 829440.

The previous prime is 2989003. The next prime is 2989009. The reversal of 2989008 is 8009892.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2989003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80766 + ... + 80802.

It is an arithmetic number, because the mean of its divisors is an integer number (63612).

22989008 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 2989008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5088960).

2989008 is an abundant number, since it is smaller than the sum of its proper divisors (7188912).

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

2989008 is a wasteful number, since it uses less digits than its factorization.

2989008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 2989008 is about 1728.8747785771. The cubic root of 2989008 is about 144.0485947103.

2989008 divided by its sum of digits (36) gives a triangular number (83028 = T407).

The spelling of 2989008 in words is "two million, nine hundred eighty-nine thousand, eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 17 18 22 24 27 33 34 36 37 44 48 51 54 66 68 72 74 88 99 102 108 111 132 136 144 148 153 176 187 198 204 216 222 264 272 296 297 306 333 374 396 407 408 432 444 459 528 561 592 594 612 629 666 748 792 814 816 888 918 999 1122 1188 1221 1224 1258 1332 1496 1584 1628 1683 1776 1836 1887 1998 2244 2376 2442 2448 2516 2664 2992 3256 3366 3663 3672 3774 3996 4488 4752 4884 5032 5049 5328 5661 6512 6732 6919 7326 7344 7548 7992 8976 9768 10064 10098 10989 11322 13464 13838 14652 15096 15984 16983 19536 20196 20757 21978 22644 26928 27676 29304 30192 33966 40392 41514 43956 45288 55352 58608 62271 67932 80784 83028 87912 90576 110704 124542 135864 166056 175824 186813 249084 271728 332112 373626 498168 747252 996336 1494504 2989008