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742812 = 223737239
BaseRepresentation
bin10110101010110011100
31101201221120
42311112130
5142232222
623530540
76212430
oct2652634
91351846
10742812
114680a4
122b9a50
13200145
141549c0
15ea15c
hexb559c

742812 has 48 divisors (see below), whose sum is σ = 2042880. Its totient is φ = 205632.

The previous prime is 742801. The next prime is 742817. The reversal of 742812 is 218247.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2989 + ... + 3227.

It is an arithmetic number, because the mean of its divisors is an integer number (42560).

2742812 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 742812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021440).

742812 is an abundant number, since it is smaller than the sum of its proper divisors (1300068).

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

742812 is a wasteful number, since it uses less digits than its factorization.

742812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 288 counting only the distinct ones).

The product of its digits is 896, while the sum is 24.

The square root of 742812 is about 861.8654187285. The cubic root of 742812 is about 90.5648426762.

The spelling of 742812 in words is "seven hundred forty-two thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 74 84 111 148 222 239 259 444 478 518 717 777 956 1036 1434 1554 1673 2868 3108 3346 5019 6692 8843 10038 17686 20076 26529 35372 53058 61901 106116 123802 185703 247604 371406 742812