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2028929472 = 263643487
BaseRepresentation
bin111100011101111…
…0000000111000000
312020101210022000000
41320323300013000
513123401220342
6533155000000
7101164421163
oct17073600700
95211708000
102028929472
11951306819
12487599000
13264465cab
14153669ada
15bd1c944c
hex78ef01c0

2028929472 has 98 divisors (see below), whose sum is σ = 6036612768. Its totient is φ = 676294272.

The previous prime is 2028929467. The next prime is 2028929477. The reversal of 2028929472 is 2749298202.

It is an interprime number because it is at equal distance from previous prime (2028929467) and next prime (2028929477).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2028929477) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 24913 + ... + 68399.

Almost surely, 22028929472 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 2028929472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3018306384).

2028929472 is an abundant number, since it is smaller than the sum of its proper divisors (4007683296).

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

2028929472 is an frugal number, since it uses more digits than its factorization.

2028929472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43517 (or 43492 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 2028929472 is about 45043.6396397982. The cubic root of 2028929472 is about 1265.9668013127.

The spelling of 2028929472 in words is "two billion, twenty-eight million, nine hundred twenty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 729 864 972 1296 1458 1728 1944 2592 2916 3888 5184 5832 7776 11664 15552 23328 43487 46656 86974 130461 173948 260922 347896 391383 521844 695792 782766 1043688 1174149 1391584 1565532 2087376 2348298 2783168 3131064 3522447 4174752 4696596 6262128 7044894 8349504 9393192 10567341 12524256 14089788 18786384 21134682 25048512 28179576 31702023 37572768 42269364 56359152 63404046 75145536 84538728 112718304 126808092 169077456 225436608 253616184 338154912 507232368 676309824 1014464736 2028929472