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29426080 = 255353521
BaseRepresentation
bin111000001000…
…0000110100000
32001100222222211
41300100012200
530013113310
62530411504
7505055215
oct160200640
961328884
1029426080
1115679282
129a30b94
1361339a8
143c9db0c
1528b3c8a
hex1c101a0

29426080 has 48 divisors (see below), whose sum is σ = 69849864. Its totient is φ = 11714560.

The previous prime is 29426071. The next prime is 29426083. The reversal of 29426080 is 8062492.

It can be written as a sum of positive squares in 4 ways, for example, as 19465744 + 9960336 = 4412^2 + 3156^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29426083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56220 + ... + 56740.

Almost surely, 229426080 is an apocalyptic number.

29426080 is a gapful number since it is divisible by the number (20) 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 29426080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34924932).

29426080 is an abundant number, since it is smaller than the sum of its proper divisors (40423784).

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

29426080 is a wasteful number, since it uses less digits than its factorization.

29426080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 29426080 is about 5424.5810898170. The cubic root of 29426080 is about 308.7290314509.

The spelling of 29426080 in words is "twenty-nine million, four hundred twenty-six thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 353 521 706 1042 1412 1765 2084 2605 2824 3530 4168 5210 5648 7060 8336 10420 11296 14120 16672 20840 28240 41680 56480 83360 183913 367826 735652 919565 1471304 1839130 2942608 3678260 5885216 7356520 14713040 29426080