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972426 = 237132137
BaseRepresentation
bin11101101011010001010
31211101220210
43231122022
5222104201
632501550
711160030
oct3553212
91741823
10972426
11604664
123aa8b6
13280800
141b4550
151431d6
hexed68a

972426 has 48 divisors (see below), whose sum is σ = 2424384. Its totient is φ = 254592.

The previous prime is 972409. The next prime is 972427. The reversal of 972426 is 624279.

It is a happy number.

It is a super-2 number, since 2×9724262 = 1891224650952, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 972393 and 972402.

It is not an unprimeable number, because it can be changed into a prime (972427) by changing a digit.

972426 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 23 ways as a sum of consecutive naturals, for example, 7030 + ... + 7166.

It is an arithmetic number, because the mean of its divisors is an integer number (50508).

2972426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 972426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1212192).

972426 is an abundant number, since it is smaller than the sum of its proper divisors (1451958).

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

972426 is a wasteful number, since it uses less digits than its factorization.

972426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 162 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 972426 is about 986.1166259627. The cubic root of 972426 is about 99.0722867628.

The spelling of 972426 in words is "nine hundred seventy-two thousand, four hundred twenty-six".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 137 169 182 273 274 338 411 507 546 822 959 1014 1183 1781 1918 2366 2877 3549 3562 5343 5754 7098 10686 12467 23153 24934 37401 46306 69459 74802 138918 162071 324142 486213 972426