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72842157 = 32311311993
BaseRepresentation
bin1000101011101…
…11101110101101
312002001202122200
410111313232231
5122121422112
611121132113
71543101543
oct425675655
9162052580
1072842157
1138132433
122048a039
131212538b
149961d93
1565dccdc
hex4577bad

72842157 has 24 divisors (see below), whose sum is σ = 109494528. Its totient is φ = 46612800.

The previous prime is 72842153. The next prime is 72842201. The reversal of 72842157 is 75124827.

It is not a de Polignac number, because 72842157 - 22 = 72842153 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72842153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35553 + ... + 37545.

It is an arithmetic number, because the mean of its divisors is an integer number (4562272).

Almost surely, 272842157 is an apocalyptic number.

It is an amenable number.

72842157 is a deficient number, since it is larger than the sum of its proper divisors (36652371).

72842157 is a wasteful number, since it uses less digits than its factorization.

72842157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2161 (or 2158 counting only the distinct ones).

The product of its digits is 31360, while the sum is 36.

The square root of 72842157 is about 8534.7616838433. The cubic root of 72842157 is about 417.6324787847.

The spelling of 72842157 in words is "seventy-two million, eight hundred forty-two thousand, one hundred fifty-seven".

Divisors: 1 3 9 31 93 131 279 393 1179 1993 4061 5979 12183 17937 36549 61783 185349 261083 556047 783249 2349747 8093573 24280719 72842157