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828396140 = 22511131072707
BaseRepresentation
bin110001011000000…
…101001001101100
32010201202212212112
4301120011021230
53144032134030
6214111223152
726346152045
oct6130051154
92121685775
10828396140
11395676310
121b1517ab8
13102815b40
147c03b8cc
154cad5a95
hex3160526c

828396140 has 96 divisors (see below), whose sum is σ = 2063625984. Its totient is φ = 275362560.

The previous prime is 828396139. The next prime is 828396157. The reversal of 828396140 is 41693828.

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, 304667 + ... + 307373.

It is an arithmetic number, because the mean of its divisors is an integer number (21496104).

Almost surely, 2828396140 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 828396140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031812992).

828396140 is an abundant number, since it is smaller than the sum of its proper divisors (1235229844).

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

828396140 is a wasteful number, since it uses less digits than its factorization.

828396140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2847 (or 2845 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 41.

The square root of 828396140 is about 28781.8717250981. The cubic root of 828396140 is about 939.1739158569.

The spelling of 828396140 in words is "eight hundred twenty-eight million, three hundred ninety-six thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 107 110 130 143 214 220 260 286 428 535 572 715 1070 1177 1391 1430 2140 2354 2707 2782 2860 4708 5414 5564 5885 6955 10828 11770 13535 13910 15301 23540 27070 27820 29777 30602 35191 54140 59554 61204 70382 76505 119108 140764 148885 153010 175955 289649 297770 306020 351910 387101 579298 595540 703820 774202 1158596 1448245 1548404 1935505 2896490 3186139 3765437 3871010 5792980 6372278 7530874 7742020 12744556 15061748 15930695 18827185 31861390 37654370 41419807 63722780 75308740 82839614 165679228 207099035 414198070 828396140