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29892330 = 23251329881
BaseRepresentation
bin111001000000…
…1111011101010
32002020200120100
41302001323222
530123023310
62544410230
7512036436
oct162017352
962220510
1029892330
1115967606
12a016976
136267c90
143d819c6
152956ec0
hex1c81eea

29892330 has 96 divisors (see below), whose sum is σ = 86682960. Its totient is φ = 7096320.

The previous prime is 29892323. The next prime is 29892361. The reversal of 29892330 is 3329892.

It can be written as a sum of positive squares in 8 ways, for example, as 3606201 + 26286129 = 1899^2 + 5127^2 .

It is a super-3 number, since 3×298923303 (a number of 23 digits) contains 333 as substring.

It is a Curzon number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 33490 + ... + 34370.

Almost surely, 229892330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29892330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43341480).

29892330 is an abundant number, since it is smaller than the sum of its proper divisors (56790630).

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

29892330 is a wasteful number, since it uses less digits than its factorization.

29892330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 29892330 is about 5467.3878589323. The cubic root of 29892330 is about 310.3510764131.

The spelling of 29892330 in words is "twenty-nine million, eight hundred ninety-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 29 30 39 45 58 65 78 87 90 117 130 145 174 195 234 261 290 377 390 435 522 585 754 870 881 1131 1170 1305 1762 1885 2262 2610 2643 3393 3770 4405 5286 5655 6786 7929 8810 11310 11453 13215 15858 16965 22906 25549 26430 33930 34359 39645 51098 57265 68718 76647 79290 103077 114530 127745 153294 171795 206154 229941 255490 332137 343590 383235 459882 515385 664274 766470 996411 1030770 1149705 1660685 1992822 2299410 2989233 3321370 4982055 5978466 9964110 14946165 29892330