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29098008 = 23331071259
BaseRepresentation
bin110111100000…
…0000000011000
32000202022222000
41233000000120
524422114013
62515401000
7502220562
oct157000030
960668860
1029098008
1115474845
1298b3160
13604a574
143c16332
15284b973
hex1bc0018

29098008 has 64 divisors (see below), whose sum is σ = 81648000. Its totient is φ = 9601056.

The previous prime is 29097977. The next prime is 29098009. The reversal of 29098008 is 80089092.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29098009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22483 + ... + 23741.

It is an arithmetic number, because the mean of its divisors is an integer number (1275750).

Almost surely, 229098008 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 29098008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40824000).

29098008 is an abundant number, since it is smaller than the sum of its proper divisors (52549992).

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

29098008 is a wasteful number, since it uses less digits than its factorization.

29098008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1381 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 29098008 is about 5394.2569460492. The cubic root of 29098008 is about 307.5773987203.

The spelling of 29098008 in words is "twenty-nine million, ninety-eight thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 107 108 214 216 321 428 642 856 963 1259 1284 1926 2518 2568 2889 3777 3852 5036 5778 7554 7704 10072 11331 11556 15108 22662 23112 30216 33993 45324 67986 90648 134713 135972 269426 271944 404139 538852 808278 1077704 1212417 1616556 2424834 3233112 3637251 4849668 7274502 9699336 14549004 29098008