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2988790272 = 29331316631
BaseRepresentation
bin1011001000100101…
…0101001000000000
321201021221021111000
42302021111020000
522110112242042
61212324052000
7134031204156
oct26211251000
97637837430
102988790272
1112a4104406
126b4b34000
1338828b170
14204d293d6
151275cc74c
hexb2255200

2988790272 has 160 divisors (see below), whose sum is σ = 9528140160. Its totient is φ = 919572480.

The previous prime is 2988790261. The next prime is 2988790303. The reversal of 2988790272 is 2720978892.

2988790272 is a `hidden beast` number, since 298 + 87 + 9 + 0 + 272 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171397 + ... + 188027.

It is an arithmetic number, because the mean of its divisors is an integer number (59550876).

Almost surely, 22988790272 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 2988790272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4764070080).

2988790272 is an abundant number, since it is smaller than the sum of its proper divisors (6539349888).

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

2988790272 is a wasteful number, since it uses less digits than its factorization.

2988790272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16671 (or 16649 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The square root of 2988790272 is about 54669.8296320740. The cubic root of 2988790272 is about 1440.4509698645.

The spelling of 2988790272 in words is "two billion, nine hundred eighty-eight million, seven hundred ninety thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 256 288 312 351 384 416 432 468 512 576 624 702 768 832 864 936 1152 1248 1404 1536 1664 1728 1872 2304 2496 2808 3328 3456 3744 4608 4992 5616 6656 6912 7488 9984 11232 13824 14976 16631 19968 22464 29952 33262 44928 49893 59904 66524 89856 99786 133048 149679 179712 199572 216203 266096 299358 399144 432406 449037 532192 598716 648609 798288 864812 898074 1064384 1197432 1297218 1596576 1729624 1796148 1945827 2128768 2394864 2594436 3193152 3459248 3592296 3891654 4257536 4789728 5188872 5837481 6386304 6918496 7184592 7783308 8515072 9579456 10377744 11674962 12772608 13836992 14369184 15566616 19158912 20755488 23349924 25545216 27673984 28738368 31133232 38317824 41510976 46699848 55347968 57476736 62266464 76635648 83021952 93399696 110695936 114953472 124532928 166043904 186799392 229906944 249065856 332087808 373598784 498131712 747197568 996263424 1494395136 2988790272