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3893713092 = 2234194115427
BaseRepresentation
bin1110100000010101…
…0101100011000100
3101001100201010020000
43220011111203010
530433242304332
61442211441300
7165330005133
oct35005254304
911040633200
103893713092
111718999305
12907bb6230
134a08b9459
1428d1a791a
1517bc7cb7c
hexe81558c4

3893713092 has 120 divisors (see below), whose sum is σ = 10976713440. Its totient is φ = 1199525760.

The previous prime is 3893713091. The next prime is 3893713127. The reversal of 3893713092 is 2903173983.

It is a super-2 number, since 2×38937130922 = 30322003285624400928, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3893713091) 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 39 ways as a sum of consecutive naturals, for example, 244683 + ... + 260109.

It is an arithmetic number, because the mean of its divisors is an integer number (91472612).

Almost surely, 23893713092 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 3893713092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5488356720).

3893713092 is an abundant number, since it is smaller than the sum of its proper divisors (7083000348).

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

3893713092 is a wasteful number, since it uses less digits than its factorization.

3893713092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15503 (or 15492 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 3893713092 is about 62399.6241334834. The cubic root of 3893713092 is about 1573.2146518053.

The spelling of 3893713092 in words is "three billion, eight hundred ninety-three million, seven hundred thirteen thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 41 54 57 76 81 82 108 114 123 162 164 171 228 246 324 342 369 492 513 684 738 779 1026 1107 1476 1539 1558 2052 2214 2337 3078 3116 3321 4428 4674 6156 6642 7011 9348 13284 14022 15427 21033 28044 30854 42066 46281 61708 63099 84132 92562 126198 138843 185124 252396 277686 293113 416529 555372 586226 632507 833058 879339 1172452 1249587 1265014 1666116 1758678 1897521 2499174 2530028 2638017 3517356 3795042 4998348 5276034 5692563 7590084 7914051 10552068 11385126 12017633 15828102 17077689 22770252 23742153 24035266 31656204 34155378 36052899 47484306 48070532 51233067 68310756 72105798 94968612 102466134 108158697 144211596 204932268 216317394 324476091 432634788 648952182 973428273 1297904364 1946856546 3893713092