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970889568 = 253111019103
BaseRepresentation
bin111001110111101…
…001100101100000
32111122220022002220
4321313221211200
53442021431233
6240201311040
733026265555
oct7167514540
92448808086
10970889568
11459050780
12231195480
131261b708c
1492d30a2c
155a380eb3
hex39de9960

970889568 has 96 divisors (see below), whose sum is σ = 2808110592. Its totient is φ = 291264000.

The previous prime is 970889551. The next prime is 970889599. The reversal of 970889568 is 865988079.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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, 102105 + ... + 111207.

It is an arithmetic number, because the mean of its divisors is an integer number (29251152).

Almost surely, 2970889568 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 970889568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404055296).

970889568 is an abundant number, since it is smaller than the sum of its proper divisors (1837221024).

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

970889568 is a wasteful number, since it uses less digits than its factorization.

970889568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9228 (or 9220 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 60.

The square root of 970889568 is about 31159.1008856161. The cubic root of 970889568 is about 990.2008122385.

The spelling of 970889568 in words is "nine hundred seventy million, eight hundred eighty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 101 132 176 202 264 303 352 404 528 606 808 1056 1111 1212 1616 2222 2424 3232 3333 4444 4848 6666 8888 9103 9696 13332 17776 18206 26664 27309 35552 36412 53328 54618 72824 100133 106656 109236 145648 200266 218472 291296 300399 400532 436944 600798 801064 873888 919403 1201596 1602128 1838806 2403192 2758209 3204256 3677612 4806384 5516418 7355224 9612768 10113433 11032836 14710448 20226866 22065672 29420896 30340299 40453732 44131344 60680598 80907464 88262688 121361196 161814928 242722392 323629856 485444784 970889568