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42702072 = 2337254179
BaseRepresentation
bin1010001011100…
…1010011111000
32222100111020020
42202321103320
541412431242
64123130440
71025650560
oct242712370
988314206
1042702072
1122116776
1212373a20
138b016ca
145957da0
153b376ec
hex28b94f8

42702072 has 32 divisors (see below), whose sum is σ = 122006400. Its totient is φ = 12200544.

The previous prime is 42702071. The next prime is 42702073. The reversal of 42702072 is 27020724.

42702072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42702071) and next prime (42702073).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42702071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126922 + ... + 127257.

It is an arithmetic number, because the mean of its divisors is an integer number (3812700).

Almost surely, 242702072 is an apocalyptic number.

42702072 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

42702072 is an abundant number, since it is smaller than the sum of its proper divisors (79304328).

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

42702072 is a wasteful number, since it uses less digits than its factorization.

42702072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254195 (or 254191 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 24.

The square root of 42702072 is about 6534.6822417008. The cubic root of 42702072 is about 349.5288135704.

Adding to 42702072 its reverse (27020724), we get a palindrome (69722796).

The spelling of 42702072 in words is "forty-two million, seven hundred two thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 254179 508358 762537 1016716 1525074 1779253 2033432 3050148 3558506 5337759 6100296 7117012 10675518 14234024 21351036 42702072