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2085003828 = 2234173112211
BaseRepresentation
bin111110001000110…
…1010001000110100
312101022022011120000
41330101222020310
513232230110303
6542520511300
7102445145235
oct17421521064
95338264500
102085003828
1197aa26266
124a231b530
13272c6a19b
1415aca508c
15c30a3da3
hex7c46a234

2085003828 has 120 divisors (see below), whose sum is σ = 5957892864. Its totient is φ = 632966400.

The previous prime is 2085003733. The next prime is 2085003841. The reversal of 2085003828 is 8283005802.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2085003792 and 2085003801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 164643 + ... + 176853.

Almost surely, 22085003828 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 2085003828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2978946432).

2085003828 is an abundant number, since it is smaller than the sum of its proper divisors (3872889036).

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

2085003828 is a wasteful number, since it uses less digits than its factorization.

2085003828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12275 (or 12264 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 2085003828 is about 45661.8421441799. The cubic root of 2085003828 is about 1277.5236603423.

The spelling of 2085003828 in words is "two billion, eighty-five million, three thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 27 31 34 36 51 54 62 68 81 93 102 108 124 153 162 186 204 279 306 324 372 459 527 558 612 837 918 1054 1116 1377 1581 1674 1836 2108 2511 2754 3162 3348 4743 5022 5508 6324 9486 10044 12211 14229 18972 24422 28458 36633 42687 48844 56916 73266 85374 109899 146532 170748 207587 219798 329697 378541 415174 439596 622761 659394 757082 830348 989091 1135623 1245522 1318788 1514164 1868283 1978182 2271246 2491044 3406869 3736566 3956364 4542492 5604849 6435197 6813738 7473132 10220607 11209698 12870394 13627476 16814547 19305591 20441214 22419396 25740788 30661821 33629094 38611182 40882428 57916773 61323642 67258188 77222364 115833546 122647284 173750319 231667092 347500638 521250957 695001276 1042501914 2085003828