Search a number
-
+
970634025 = 3252312672
BaseRepresentation
bin111001110110101…
…011001100101001
32111122102022120100
4321312223030221
53441440242100
6240152020013
733024152544
oct7166531451
92448368510
10970634025
11458996789
12231091609
1312612797a
1492ca585b
155a330400
hex39dab329

970634025 has 81 divisors (see below), whose sum is σ = 1823615703. Its totient is φ = 493495200.

The previous prime is 970634011. The next prime is 970634047. The reversal of 970634025 is 520436079.

The square root of 970634025 is 31155.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 349428249 + 621205776 = 18693^2 + 24924^2 .

It is not a de Polignac number, because 970634025 - 221 = 968536873 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 14487042 + ... + 14487108.

Almost surely, 2970634025 is an apocalyptic number.

970634025 is the 31155-th square number.

970634025 is the 15578-th centered octagonal number.

It is an amenable number.

970634025 is a deficient number, since it is larger than the sum of its proper divisors (852981678).

970634025 is a wasteful number, since it uses less digits than its factorization.

970634025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The cubic root of 970634025 is about 990.1139293433.

Multiplying 970634025 by its sum of digits (36), we get a square (34942824900 = 1869302).

The spelling of 970634025 in words is "nine hundred seventy million, six hundred thirty-four thousand, twenty-five".

Divisors: 1 3 5 9 15 25 31 45 67 75 93 155 201 225 279 335 465 603 775 961 1005 1395 1675 2077 2325 2883 3015 4489 4805 5025 6231 6975 8649 10385 13467 14415 15075 18693 22445 24025 31155 40401 43245 51925 64387 67335 72075 93465 112225 139159 155775 193161 202005 216225 321935 336675 417477 467325 579483 695795 965805 1010025 1252431 1609675 2087385 2897415 3478975 4313929 4829025 6262155 10436925 12941787 14487075 21569645 31310775 38825361 64708935 107848225 194126805 323544675 970634025