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992189044 = 2272111953457
BaseRepresentation
bin111011001000111…
…001101001110100
32120010222102111101
4323020321221310
54013000022134
6242242015444
733405316300
oct7310715164
92503872441
10992189044
1146a079350
12238347584
1312a733b12
1495ab6d00
155c18be14
hex3b239a74

992189044 has 144 divisors (see below), whose sum is σ = 2368336320. Its totient is φ = 358525440.

The previous prime is 992189021. The next prime is 992189057. The reversal of 992189044 is 440981299.

It is a junction number, because it is equal to n+sod(n) for n = 992188985 and 992189003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2170864 + ... + 2171320.

It is an arithmetic number, because the mean of its divisors is an integer number (16446780).

Almost surely, 2992189044 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 992189044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1184168160).

992189044 is an abundant number, since it is smaller than the sum of its proper divisors (1376147276).

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

992189044 is a wasteful number, since it uses less digits than its factorization.

992189044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 46.

The square root of 992189044 is about 31499.0324295842. The cubic root of 992189044 is about 997.3895394253.

It can be divided in two parts, 992 and 189044, that added together give a triangular number (190036 = T616).

The spelling of 992189044 in words is "nine hundred ninety-two million, one hundred eighty-nine thousand, forty-four".

Divisors: 1 2 4 7 11 14 19 22 28 38 44 49 53 76 77 98 106 133 154 196 209 212 266 308 371 418 457 532 539 583 742 836 914 931 1007 1078 1166 1463 1484 1828 1862 2014 2156 2332 2597 2926 3199 3724 4028 4081 5027 5194 5852 6398 7049 8162 8683 10054 10241 10388 11077 12796 14098 16324 17366 20108 20482 22154 22393 24221 28196 28567 34732 35189 40964 44308 44786 48442 49343 57134 60781 70378 77539 89572 95513 96884 98686 114268 121562 140756 155078 169547 191026 197372 243124 246323 266431 310156 339094 382052 425467 460199 492646 532862 542773 668591 678188 850934 920398 985292 1065724 1085546 1186829 1337182 1701868 1840796 1865017 2171092 2373658 2674364 3221393 3730034 4680137 4747316 5062189 6442786 7460068 9360274 10124378 12885572 13055119 18720548 20248756 22549751 26110238 35435323 45099502 52220476 70870646 90199004 141741292 248047261 496094522 992189044