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29419488 = 2532714593
BaseRepresentation
bin111000000111…
…0011111100000
32001100122221200
41300032133200
530012410423
62530321200
7505030050
oct160163740
961318850
1029419488
111567432a
129a29200
1361309a7
143c9b560
1528b1d43
hex1c0e7e0

29419488 has 72 divisors (see below), whose sum is σ = 95619888. Its totient is φ = 8404992.

The previous prime is 29419471. The next prime is 29419493. The reversal of 29419488 is 88491492.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5281 + ... + 9312.

It is an arithmetic number, because the mean of its divisors is an integer number (1328054).

Almost surely, 229419488 is an apocalyptic number.

29419488 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

29419488 is an abundant number, since it is smaller than the sum of its proper divisors (66200400).

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

29419488 is a wasteful number, since it uses less digits than its factorization.

29419488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14616 (or 14605 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 29419488 is about 5423.9734512625. The cubic root of 29419488 is about 308.7059760098.

The spelling of 29419488 in words is "twenty-nine million, four hundred nineteen thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 14593 29186 43779 58372 87558 102151 116744 131337 175116 204302 233488 262674 306453 350232 408604 466976 525348 612906 700464 817208 919359 1050696 1225812 1400928 1634416 1838718 2101392 2451624 3268832 3677436 4202784 4903248 7354872 9806496 14709744 29419488