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29097468 = 2234312897
BaseRepresentation
bin110111011111…
…1110111111100
32000202022020000
41232333313330
524422104333
62515354300
7502216161
oct156776774
960668200
1029097468
11154743a4
1298b2990
13604a24a
143c16068
15284b713
hex1bbfdfc

29097468 has 60 divisors (see below), whose sum is σ = 78547392. Its totient is φ = 9383040.

The previous prime is 29097463. The next prime is 29097521. The reversal of 29097468 is 86479092.

It is a happy number.

It is a super-2 number, since 2×290974682 = 1693325288022048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29097463) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8596 + ... + 11492.

Almost surely, 229097468 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 29097468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39273696).

29097468 is an abundant number, since it is smaller than the sum of its proper divisors (49449924).

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

29097468 is a wasteful number, since it uses less digits than its factorization.

29097468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2944 (or 2933 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 29097468 is about 5394.2068925839. The cubic root of 29097468 is about 307.5754960377.

The spelling of 29097468 in words is "twenty-nine million, ninety-seven thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 162 186 279 324 372 558 837 1116 1674 2511 2897 3348 5022 5794 8691 10044 11588 17382 26073 34764 52146 78219 89807 104292 156438 179614 234657 269421 312876 359228 469314 538842 808263 938628 1077684 1616526 2424789 3233052 4849578 7274367 9699156 14548734 29097468