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290743992 = 23347115827
BaseRepresentation
bin10001010101000…
…110011010111000
3202021002022210000
4101111012122320
51043412301432
644503353000
710130166060
oct2125063270
9667068700
10290743992
1113a1322a0
1281452760
1348309a86
142a8843a0
151a7d157c
hex115466b8

290743992 has 160 divisors (see below), whose sum is σ = 1015470720. Its totient is φ = 75504960.

The previous prime is 290743991. The next prime is 290744011. The reversal of 290743992 is 299347092.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290743991) 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, 46983 + ... + 52809.

It is an arithmetic number, because the mean of its divisors is an integer number (6346692).

Almost surely, 2290743992 is an apocalyptic number.

290743992 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 290743992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507735360).

290743992 is an abundant number, since it is smaller than the sum of its proper divisors (724726728).

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

290743992 is a wasteful number, since it uses less digits than its factorization.

290743992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5863 (or 5850 counting only the distinct ones).

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

The square root of 290743992 is about 17051.2167307791. The cubic root of 290743992 is about 662.4761530279.

The spelling of 290743992 in words is "two hundred ninety million, seven hundred forty-three thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 27 28 33 36 42 44 54 56 63 66 72 77 81 84 88 99 108 126 132 154 162 168 189 198 216 231 252 264 297 308 324 378 396 462 504 567 594 616 648 693 756 792 891 924 1134 1188 1386 1512 1782 1848 2079 2268 2376 2772 3564 4158 4536 5544 5827 6237 7128 8316 11654 12474 16632 17481 23308 24948 34962 40789 46616 49896 52443 64097 69924 81578 104886 122367 128194 139848 157329 163156 192291 209772 244734 256388 314658 326312 367101 384582 419544 448679 471987 489468 512776 576873 629316 734202 769164 897358 943974 978936 1101303 1153746 1258632 1346037 1468404 1538328 1730619 1794716 1887948 2202606 2307492 2692074 2936808 3303909 3461238 3589432 3775896 4038111 4405212 4614984 5191857 5384148 6607818 6922476 8076222 8810424 10383714 10768296 12114333 13215636 13844952 16152444 20767428 24228666 26431272 32304888 36342999 41534856 48457332 72685998 96914664 145371996 290743992