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79872001 = 1117735851
BaseRepresentation
bin1001100001011…
…00000000000001
312120021220210021
410300230000001
5130421401001
611531533441
71656620656
oct460540001
9176256707
1079872001
11410a4020
12228ba281
1313717051
14a871c2d
15702aba1
hex4c2c001

79872001 has 16 divisors (see below), whose sum is σ = 93538368. Its totient is φ = 67392000.

The previous prime is 79871929. The next prime is 79872019. The reversal of 79872001 is 10027897.

It is a 4-Lehmer number, since φ(79872001) divides (79872001-1)4.

It is a cyclic number.

It is not a de Polignac number, because 79872001 - 29 = 79871489 is a prime.

It is a deceptive number, since it divides R79872000.

It is not an unprimeable number, because it can be changed into a prime (79872701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10726 + ... + 16576.

It is an arithmetic number, because the mean of its divisors is an integer number (5846148).

It is a Proth number, since it is equal to 4875 ⋅ 214 + 1 and 4875 < 214.

Almost surely, 279872001 is an apocalyptic number.

It is an amenable number.

79872001 is a deficient number, since it is larger than the sum of its proper divisors (13666367).

79872001 is a wasteful number, since it uses less digits than its factorization.

79872001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5952.

The product of its (nonzero) digits is 7056, while the sum is 34.

The square root of 79872001 is about 8937.1136839586. The cubic root of 79872001 is about 430.6570107643.

Adding to 79872001 its reverse (10027897), we get a palindrome (89899898).

The spelling of 79872001 in words is "seventy-nine million, eight hundred seventy-two thousand, one".

Divisors: 1 11 17 73 187 803 1241 5851 13651 64361 99467 427123 1094137 4698353 7261091 79872001