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2029252896 = 2532111933713
BaseRepresentation
bin111100011110011…
…1111000100100000
312020102101201122200
41320330333010200
513123442043041
6533205533200
7101200236126
oct17074770440
95212351580
102029252896
11951507810
12487714200
1326454a278
14153711916
15bd2401b6
hex78f3f120

2029252896 has 144 divisors (see below), whose sum is σ = 6626823840. Its totient is φ = 582543360.

The previous prime is 2029252853. The next prime is 2029252961. The reversal of 2029252896 is 6982529202.

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

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43336 + ... + 77048.

It is an arithmetic number, because the mean of its divisors is an integer number (46019610).

Almost surely, 22029252896 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 2029252896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3313411920).

2029252896 is an abundant number, since it is smaller than the sum of its proper divisors (4597570944).

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

2029252896 is a wasteful number, since it uses less digits than its factorization.

2029252896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33759 (or 33748 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 2029252896 is about 45047.2296151495. The cubic root of 2029252896 is about 1266.0340654041.

The spelling of 2029252896 in words is "two billion, twenty-nine million, two hundred fifty-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 19 22 24 32 33 36 38 44 48 57 66 72 76 88 96 99 114 132 144 152 171 176 198 209 228 264 288 304 342 352 396 418 456 528 608 627 684 792 836 912 1056 1254 1368 1584 1672 1824 1881 2508 2736 3168 3344 3762 5016 5472 6688 7524 10032 15048 20064 30096 33713 60192 67426 101139 134852 202278 269704 303417 370843 404556 539408 606834 640547 741686 809112 1078816 1112529 1213668 1281094 1483372 1618224 1921641 2225058 2427336 2562188 2966744 3236448 3337587 3843282 4450116 4854672 5124376 5764923 5933488 6675174 7046017 7686564 8900232 9709344 10248752 11529846 11866976 13350348 14092034 15373128 17800464 20497504 21138051 23059692 26700696 28184068 30746256 35600928 42276102 46119384 53401392 56368136 61492512 63414153 84552204 92238768 106802784 112736272 126828306 169104408 184477536 225472544 253656612 338208816 507313224 676417632 1014626448 2029252896