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29820817 = 134155949
BaseRepresentation
bin111000111000…
…0011110010001
32002010001110201
41301300132101
530113231232
62543055201
7511321105
oct161603621
962101421
1029820817
1115918904
129ba1501
136241570
143d63905
152940be7
hex1c70791

29820817 has 8 divisors (see below), whose sum is σ = 32898600. Its totient is φ = 26855040.

The previous prime is 29820803. The next prime is 29820827. The reversal of 29820817 is 71802892.

It can be written as a sum of positive squares in 4 ways, for example, as 1347921 + 28472896 = 1161^2 + 5336^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-29820817 is a prime.

It is a super-2 number, since 2×298208172 = 1778562253094978, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29820827) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27442 + ... + 28507.

It is an arithmetic number, because the mean of its divisors is an integer number (4112325).

Almost surely, 229820817 is an apocalyptic number.

It is an amenable number.

29820817 is a deficient number, since it is larger than the sum of its proper divisors (3077783).

29820817 is a wasteful number, since it uses less digits than its factorization.

29820817 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56003.

The product of its (nonzero) digits is 16128, while the sum is 37.

The square root of 29820817 is about 5460.8439823895. The cubic root of 29820817 is about 310.1033890317.

It can be divided in two parts, 298 and 20817, that added together give a triangular number (21115 = T205).

The spelling of 29820817 in words is "twenty-nine million, eight hundred twenty thousand, eight hundred seventeen".

Divisors: 1 13 41 533 55949 727337 2293909 29820817