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29813800 = 2352149069
BaseRepresentation
bin111000110111…
…0110000101000
32002002200211211
41301232300220
530113020200
62543002504
7511261462
oct161566050
962080754
1029813800
1115913605
129b99434
13623b303
143d61132
15293daba
hex1c6ec28

29813800 has 24 divisors (see below), whose sum is σ = 69317550. Its totient is φ = 11925440.

The previous prime is 29813779. The next prime is 29813809. The reversal of 29813800 is 831892.

It can be written as a sum of positive squares in 3 ways, for example, as 20921476 + 8892324 = 4574^2 + 2982^2 .

It is not an unprimeable number, because it can be changed into a prime (29813809) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 74335 + ... + 74734.

Almost surely, 229813800 is an apocalyptic number.

29813800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29813800 is an abundant number, since it is smaller than the sum of its proper divisors (39503750).

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

29813800 is a wasteful number, since it uses less digits than its factorization.

29813800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149085 (or 149076 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 29813800 is about 5460.2014614847. The cubic root of 29813800 is about 310.0790641205.

The spelling of 29813800 in words is "twenty-nine million, eight hundred thirteen thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 149069 298138 596276 745345 1192552 1490690 2981380 3726725 5962760 7453450 14906900 29813800