Search a number
-
+
29039904 = 2533192961
BaseRepresentation
bin110111011000…
…1110100100000
32000122101021000
41232301310200
524413234104
62514232000
7501556305
oct156616440
960571230
1029039904
1115435123
129885600
136029c9a
143bdd0ac
152839639
hex1bb1d20

29039904 has 192 divisors, whose sum is σ = 93744000. Its totient is φ = 8709120.

The previous prime is 29039903. The next prime is 29039929. The reversal of 29039904 is 40993092.

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 (29039903) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 476034 + ... + 476094.

It is an arithmetic number, because the mean of its divisors is an integer number (488250).

Almost surely, 229039904 is an apocalyptic number.

29039904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29039904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46872000).

29039904 is an abundant number, since it is smaller than the sum of its proper divisors (64704096).

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

29039904 is a wasteful number, since it uses less digits than its factorization.

29039904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 29039904 is about 5388.8685268802. The cubic root of 29039904 is about 307.3725349158.

The spelling of 29039904 in words is "twenty-nine million, thirty-nine thousand, nine hundred four".