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29294820 = 22325162749
BaseRepresentation
bin110111111000…
…0000011100100
32001010022221100
41233300003210
524444413240
62523520100
7504000432
oct157600344
961108840
1029294820
11155996a5
129989030
1360b9019
143c67d52
152889e30
hex1bf00e4

29294820 has 36 divisors (see below), whose sum is σ = 88861500. Its totient is φ = 7811904.

The previous prime is 29294809. The next prime is 29294833. The reversal of 29294820 is 2849292.

It can be written as a sum of positive squares in 2 ways, for example, as 18045504 + 11249316 = 4248^2 + 3354^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

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, 81195 + ... + 81554.

It is an arithmetic number, because the mean of its divisors is an integer number (2468375).

Almost surely, 229294820 is an apocalyptic number.

29294820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29294820 is an abundant number, since it is smaller than the sum of its proper divisors (59566680).

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

29294820 is a wasteful number, since it uses less digits than its factorization.

29294820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162764 (or 162759 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 29294820 is about 5412.4689375552. The cubic root of 29294820 is about 308.2693012069.

It can be divided in two parts, 29 and 294820, that added together give a square (294849 = 5432).

The spelling of 29294820 in words is "twenty-nine million, two hundred ninety-four thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 162749 325498 488247 650996 813745 976494 1464741 1627490 1952988 2441235 2929482 3254980 4882470 5858964 7323705 9764940 14647410 29294820