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29293904 = 242323461
BaseRepresentation
bin110111110111…
…1110101010000
32001010021200102
41233233311100
524444401104
62523511532
7503664653
oct157576520
961107612
1029293904
1115598a42
1299885a8
1360b8793
143c6789a
152889a1e
hex1befd50

29293904 has 30 divisors (see below), whose sum is σ = 59349066. Its totient is φ = 14006080.

The previous prime is 29293897. The next prime is 29293919. The reversal of 29293904 is 40939292.

It can be written as a sum of positive squares in only one way, i.e., 21160000 + 8133904 = 4600^2 + 2852^2 .

It is a super-2 number, since 2×292939042 = 1716265623122432, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6734 + ... + 10194.

Almost surely, 229293904 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 29293904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29674533).

29293904 is an abundant number, since it is smaller than the sum of its proper divisors (30055162).

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

29293904 is a wasteful number, since it uses less digits than its factorization.

29293904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3515 (or 3486 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 38.

The square root of 29293904 is about 5412.3843174704. The cubic root of 29293904 is about 308.2660881517.

The spelling of 29293904 in words is "twenty-nine million, two hundred ninety-three thousand, nine hundred four".

Divisors: 1 2 4 8 16 23 46 92 184 368 529 1058 2116 3461 4232 6922 8464 13844 27688 55376 79603 159206 318412 636824 1273648 1830869 3661738 7323476 14646952 29293904