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29431890 = 2335611787
BaseRepresentation
bin111000001000…
…1100001010010
32001101021222000
41300101201102
530013310030
62530454430
7505111155
oct160214122
961337860
1029431890
1115682684
129a34416
136136527
143ca1c9c
1528b5860
hex1c11852

29431890 has 64 divisors (see below), whose sum is σ = 79816320. Its totient is φ = 7715520.

The previous prime is 29431889. The next prime is 29431903. The reversal of 29431890 is 9813492.

It is a super-2 number, since 2×294318902 = 1732472297944200, which contains 22 as substring.

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, 15577 + ... + 17363.

It is an arithmetic number, because the mean of its divisors is an integer number (1247130).

Almost surely, 229431890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29431890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39908160).

29431890 is an abundant number, since it is smaller than the sum of its proper divisors (50384430).

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

29431890 is a wasteful number, since it uses less digits than its factorization.

29431890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1864 (or 1858 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 29431890 is about 5425.1165886089. The cubic root of 29431890 is about 308.7493490018.

The spelling of 29431890 in words is "twenty-nine million, four hundred thirty-one thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 61 90 122 135 183 270 305 366 549 610 915 1098 1647 1787 1830 2745 3294 3574 5361 5490 8235 8935 10722 16083 16470 17870 26805 32166 48249 53610 80415 96498 109007 160830 218014 241245 327021 482490 545035 654042 981063 1090070 1635105 1962126 2943189 3270210 4905315 5886378 9810630 14715945 29431890