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970464 = 25311919
BaseRepresentation
bin11101100111011100000
31211022020010
43230323200
5222023324
632444520
711151225
oct3547340
91738203
10970464
11603140
123a9740
1327c951
141b394c
15142829
hexecee0

970464 has 48 divisors (see below), whose sum is σ = 2782080. Its totient is φ = 293760.

The previous prime is 970457. The next prime is 970469. The reversal of 970464 is 464079.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (970469) 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 7 ways as a sum of consecutive naturals, for example, 597 + ... + 1515.

It is an arithmetic number, because the mean of its divisors is an integer number (57960).

2970464 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 970464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391040).

970464 is an abundant number, since it is smaller than the sum of its proper divisors (1811616).

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

970464 is a wasteful number, since it uses less digits than its factorization.

970464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943 (or 935 counting only the distinct ones).

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

The square root of 970464 is about 985.1213123266. The cubic root of 970464 is about 99.0056113542.

The spelling of 970464 in words is "nine hundred seventy thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 919 1056 1838 2757 3676 5514 7352 10109 11028 14704 20218 22056 29408 30327 40436 44112 60654 80872 88224 121308 161744 242616 323488 485232 970464