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882020048 = 247134712889
BaseRepresentation
bin110100100100101…
…000111011010000
32021110200021001012
4310210220323100
53301244120143
6223304430052
730600022010
oct6444507320
92243607035
10882020048
11412971798
12207478328
1311096c870
14851d9c40
1552679418
hex34928ed0

882020048 has 80 divisors (see below), whose sum is σ = 2148195840. Its totient is φ = 341480448.

The previous prime is 882020047. The next prime is 882020099. The reversal of 882020048 is 840020288.

It is a junction number, because it is equal to n+sod(n) for n = 882019996 and 882020023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (882020047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61988 + ... + 74876.

It is an arithmetic number, because the mean of its divisors is an integer number (26852448).

Almost surely, 2882020048 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 882020048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1074097920).

882020048 is an abundant number, since it is smaller than the sum of its proper divisors (1266175792).

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

882020048 is a wasteful number, since it uses less digits than its factorization.

882020048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12964 (or 12958 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

The square root of 882020048 is about 29698.8223335539. The cubic root of 882020048 is about 959.0166609224.

The spelling of 882020048 in words is "eight hundred eighty-two million, twenty thousand, forty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 47 52 56 91 94 104 112 182 188 208 329 364 376 611 658 728 752 1222 1316 1456 2444 2632 4277 4888 5264 8554 9776 12889 17108 25778 34216 51556 68432 90223 103112 167557 180446 206224 335114 360892 605783 670228 721784 1172899 1211566 1340456 1443568 2345798 2423132 2680912 4240481 4691596 4846264 7875179 8480962 9383192 9692528 15750358 16961924 18766384 31500716 33923848 55126253 63001432 67847696 110252506 126002864 220505012 441010024 882020048