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742212 = 223253389
BaseRepresentation
bin10110101001101000100
31101201010100
42311031010
5142222322
623524100
76210612
oct2651504
91351110
10742212
114676a9
122b9630
131ccaa3
141546b2
15e9dac
hexb5344

742212 has 36 divisors (see below), whose sum is σ = 1916460. Its totient is φ = 242112.

The previous prime is 742211. The next prime is 742213. The reversal of 742212 is 212247.

It is an interprime number because it is at equal distance from previous prime (742211) and next prime (742213).

It can be written as a sum of positive squares in 2 ways, for example, as 352836 + 389376 = 594^2 + 624^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (742211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1714 + ... + 2102.

It is an arithmetic number, because the mean of its divisors is an integer number (53235).

2742212 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 742212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958230).

742212 is an abundant number, since it is smaller than the sum of its proper divisors (1174248).

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

742212 is a wasteful number, since it uses less digits than its factorization.

742212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 447 counting only the distinct ones).

The product of its digits is 224, while the sum is 18.

The square root of 742212 is about 861.5172662228. The cubic root of 742212 is about 90.5404517838.

Adding to 742212 its reverse (212247), we get a palindrome (954459).

The spelling of 742212 in words is "seven hundred forty-two thousand, two hundred twelve", and thus it is an iban number.

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 389 477 636 778 954 1167 1556 1908 2334 3501 4668 7002 14004 20617 41234 61851 82468 123702 185553 247404 371106 742212