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2038856856 = 233314189751
BaseRepresentation
bin111100110000110…
…0111110010011000
312021002110122210220
41321201213302120
513133421404411
6534151440040
7101344666041
oct17141476230
95232418726
102038856856
11956977373
1248a986020
1326653079a
14154ad18c8
15bdedab06
hex79867c98

2038856856 has 128 divisors (see below), whose sum is σ = 5457715200. Its totient is φ = 633600000.

The previous prime is 2038856849. The next prime is 2038856899. The reversal of 2038856856 is 6586588302.

It is a junction number, because it is equal to n+sod(n) for n = 2038856799 and 2038856808.

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, 2714481 + ... + 2715231.

It is an arithmetic number, because the mean of its divisors is an integer number (42638400).

Almost surely, 22038856856 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 2038856856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2728857600).

2038856856 is an abundant number, since it is smaller than the sum of its proper divisors (3418858344).

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

2038856856 is a wasteful number, since it uses less digits than its factorization.

2038856856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 51.

The square root of 2038856856 is about 45153.7025724359. The cubic root of 2038856856 is about 1268.0281998061.

The spelling of 2038856856 in words is "two billion, thirty-eight million, eight hundred fifty-six thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 24 31 41 62 82 89 93 123 124 164 178 186 246 248 267 328 356 372 492 534 712 744 751 984 1068 1271 1502 2136 2253 2542 2759 3004 3649 3813 4506 5084 5518 6008 7298 7626 8277 9012 10168 10947 11036 14596 15252 16554 18024 21894 22072 23281 29192 30504 30791 33108 43788 46562 61582 66216 66839 69843 87576 92373 93124 113119 123164 133678 139686 184746 186248 200517 226238 246328 267356 279372 339357 369492 401034 452476 534712 558744 678714 738984 802068 904952 954521 1357428 1604136 1909042 2072009 2714856 2740399 2863563 3818084 4144018 5480798 5727126 6216027 7636168 8221197 8288036 10961596 11454252 12432054 16442394 16576072 21923192 22908504 24864108 32884788 49728216 65769576 84952369 169904738 254857107 339809476 509714214 679618952 1019428428 2038856856