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2901283056 = 243373130949
BaseRepresentation
bin1010110011101110…
…0001000011110000
321111012021110011000
42230323201003300
521420212024211
61155520322000
7131616333120
oct25473410360
97435243130
102901283056
1112597759a1
1268b773300
133730cca49
141d746ac80
1511ea94656
hexacee10f0

2901283056 has 160 divisors (see below), whose sum is σ = 9824768000. Its totient is φ = 802172160.

The previous prime is 2901283027. The next prime is 2901283061. The reversal of 2901283056 is 6503821092.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2901283056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78270 + ... + 109218.

It is an arithmetic number, because the mean of its divisors is an integer number (61404800).

Almost surely, 22901283056 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 2901283056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4912384000).

2901283056 is an abundant number, since it is smaller than the sum of its proper divisors (6923484944).

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

2901283056 is a wasteful number, since it uses less digits than its factorization.

2901283056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31004 (or 30992 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2901283056 is about 53863.5596298648. The cubic root of 2901283056 is about 1426.2534256991.

The spelling of 2901283056 in words is "two billion, nine hundred one million, two hundred eighty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 31 36 42 48 54 56 62 63 72 84 93 108 112 124 126 144 168 186 189 216 217 248 252 279 336 372 378 432 434 496 504 558 651 744 756 837 868 1008 1116 1302 1488 1512 1674 1736 1953 2232 2604 3024 3348 3472 3906 4464 5208 5859 6696 7812 10416 11718 13392 15624 23436 30949 31248 46872 61898 92847 93744 123796 185694 216643 247592 278541 371388 433286 495184 557082 649929 742776 835623 866572 959419 1114164 1299858 1485552 1671246 1733144 1918838 1949787 2228328 2599716 2878257 3342492 3466288 3837676 3899574 4456656 5199432 5756514 5849361 6684984 6715933 7675352 7799148 8634771 10398864 11513028 11698722 13369968 13431866 15350704 15598296 17269542 20147799 23026056 23397444 25904313 26863732 31196592 34539084 40295598 46052112 46794888 51808626 53727464 60443397 69078168 80591196 93589776 103617252 107454928 120886794 138156336 161182392 181330191 207234504 241773588 322364784 362660382 414469008 483547176 725320764 967094352 1450641528 2901283056