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882135380 = 225731439463
BaseRepresentation
bin110100100101000…
…101000101010100
32021110220010020202
4310211011011110
53301311313010
6223311120032
730601012160
oct6445050524
92243803222
10882135380
11412a40405
12207513018
131109b01c9
1485229ca0
155269d6a5
hex34945154

882135380 has 96 divisors (see below), whose sum is σ = 2195128320. Its totient is φ = 291392640.

The previous prime is 882135379. The next prime is 882135383. The reversal of 882135380 is 83531288.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (882135383) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1905029 + ... + 1905491.

It is an arithmetic number, because the mean of its divisors is an integer number (22865920).

Almost surely, 2882135380 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 882135380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097564160).

882135380 is an abundant number, since it is smaller than the sum of its proper divisors (1312992940).

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

882135380 is a wasteful number, since it uses less digits than its factorization.

882135380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 38.

The square root of 882135380 is about 29700.7639632384. The cubic root of 882135380 is about 959.0584590990.

The spelling of 882135380 in words is "eight hundred eighty-two million, one hundred thirty-five thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 124 140 155 217 310 434 439 463 620 868 878 926 1085 1756 1852 2170 2195 2315 3073 3241 4340 4390 4630 6146 6482 8780 9260 12292 12964 13609 14353 15365 16205 27218 28706 30730 32410 54436 57412 61460 64820 68045 71765 95263 100471 136090 143530 190526 200942 203257 272180 287060 381052 401884 406514 476315 502355 813028 952630 1004710 1016285 1422799 1905260 2009420 2032570 2845598 4065140 5691196 6300967 7113995 12601934 14227990 25203868 28455980 31504835 44106769 63009670 88213538 126019340 176427076 220533845 441067690 882135380