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970772208 = 24377140693
BaseRepresentation
bin111001110111001…
…100111011110000
32111122200100010020
4321313030323300
53442004202313
6240155003440
733025266450
oct7167147360
92448610106
10970772208
11458a8058a
12231139580
13126175833
1492cddd60
155a35b323
hex39dccef0

970772208 has 80 divisors (see below), whose sum is σ = 2906528256. Its totient is φ = 273450240.

The previous prime is 970772191. The next prime is 970772213. The reversal of 970772208 is 802277079.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 970772208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3510 + ... + 44202.

Almost surely, 2970772208 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 970772208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1453264128).

970772208 is an abundant number, since it is smaller than the sum of its proper divisors (1935756048).

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

970772208 is a wasteful number, since it uses less digits than its factorization.

970772208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40782 (or 40776 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 42.

The square root of 970772208 is about 31157.2175907927. The cubic root of 970772208 is about 990.1609125239.

The spelling of 970772208 in words is "nine hundred seventy million, seven hundred seventy-two thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 71 84 112 142 168 213 284 336 426 497 568 852 994 1136 1491 1704 1988 2982 3408 3976 5964 7952 11928 23856 40693 81386 122079 162772 244158 284851 325544 488316 569702 651088 854553 976632 1139404 1709106 1953264 2278808 2889203 3418212 4557616 5778406 6836424 8667609 11556812 13672848 17335218 20224421 23113624 34670436 40448842 46227248 60673263 69340872 80897684 121346526 138681744 161795368 242693052 323590736 485386104 970772208