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29410992 = 2433135237
BaseRepresentation
bin111000000110…
…0011010110000
32001100020022000
41300030122300
530012122432
62530214000
7504663222
oct160143260
961306260
1029410992
1115668a06
129a24300
136129b70
143c98412
1528ae57c
hex1c0c6b0

29410992 has 80 divisors (see below), whose sum is σ = 90931680. Its totient is φ = 9047808.

The previous prime is 29410991. The next prime is 29410999. The reversal of 29410992 is 29901492.

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

It is not an unprimeable number, because it can be changed into a prime (29410991) 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, 2998 + ... + 8234.

It is an arithmetic number, because the mean of its divisors is an integer number (1136646).

Almost surely, 229410992 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 29410992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45465840).

29410992 is an abundant number, since it is smaller than the sum of its proper divisors (61520688).

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

29410992 is a wasteful number, since it uses less digits than its factorization.

29410992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5267 (or 5255 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 29410992 is about 5423.1902050361. The cubic root of 29410992 is about 308.6762562711.

The spelling of 29410992 in words is "twenty-nine million, four hundred ten thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1404 1872 2808 5237 5616 10474 15711 20948 31422 41896 47133 62844 68081 83792 94266 125688 136162 141399 188532 204243 251376 272324 282798 377064 408486 544648 565596 612729 754128 816972 1089296 1131192 1225458 1633944 1838187 2262384 2450916 3267888 3676374 4901832 7352748 9803664 14705496 29410992