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100426829 = 1136531361
BaseRepresentation
bin1011111110001…
…10010001001101
320222222012201012
411333012101031
5201202124304
613544255005
72326420406
oct577062115
9228865635
10100426829
1151763188
1229771465
1317a62b79
14d4a29ad
158c3b16e
hex5fc644d

100426829 has 8 divisors (see below), whose sum is σ = 101545272. Its totient is φ = 99312640.

The previous prime is 100426819. The next prime is 100426831. The reversal of 100426829 is 928624001.

It can be written as a sum of positive squares in 4 ways, for example, as 6375625 + 94051204 = 2525^2 + 9698^2 .

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-100426829 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100426795 and 100426804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100426819) 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, 73109 + ... + 74469.

It is an arithmetic number, because the mean of its divisors is an integer number (12693159).

Almost surely, 2100426829 is an apocalyptic number.

It is an amenable number.

100426829 is a deficient number, since it is larger than the sum of its proper divisors (1118443).

100426829 is a wasteful number, since it uses less digits than its factorization.

100426829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2127.

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 100426829 is about 10021.3187255969. The cubic root of 100426829 is about 464.8183342469.

The spelling of 100426829 in words is "one hundred million, four hundred twenty-six thousand, eight hundred twenty-nine".

Divisors: 1 113 653 1361 73789 153793 888733 100426829