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29892282 = 2371947797
BaseRepresentation
bin111001000000…
…1111010111010
32002020200111120
41302001322322
530123023112
62544410110
7512036340
oct162017272
962220446
1029892282
1115967572
12a016936
136267c54
143d81990
152956e8c
hex1c81eba

29892282 has 64 divisors (see below), whose sum is σ = 73543680. Its totient is φ = 7909056.

The previous prime is 29892281. The next prime is 29892287. The reversal of 29892282 is 28229892.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (29892281) 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 31 ways as a sum of consecutive naturals, for example, 37108 + ... + 37904.

It is an arithmetic number, because the mean of its divisors is an integer number (1149120).

Almost surely, 229892282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29892282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36771840).

29892282 is an abundant number, since it is smaller than the sum of its proper divisors (43651398).

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

29892282 is a wasteful number, since it uses less digits than its factorization.

29892282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875.

The product of its digits is 82944, while the sum is 42.

The square root of 29892282 is about 5467.3834692657. The cubic root of 29892282 is about 310.3509102963.

The spelling of 29892282 in words is "twenty-nine million, eight hundred ninety-two thousand, two hundred eighty-two".

Divisors: 1 2 3 6 7 14 19 21 38 42 47 57 94 114 133 141 266 282 329 399 658 797 798 893 987 1594 1786 1974 2391 2679 4782 5358 5579 6251 11158 12502 15143 16737 18753 30286 33474 37459 37506 45429 74918 90858 106001 112377 212002 224754 262213 318003 524426 636006 711721 786639 1423442 1573278 2135163 4270326 4982047 9964094 14946141 29892282