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970625856 = 26310349081
BaseRepresentation
bin111001110110101…
…001001101000000
32111122101220100210
4321312221031000
53441440011411
6240151514120
733024116664
oct7166511500
92448356323
10970625856
11458990632
12231088940
13126124035
1492ca28a4
155a32cca6
hex39da9340

970625856 has 56 divisors (see below), whose sum is σ = 2593100224. Its totient is φ = 320394240.

The previous prime is 970625827. The next prime is 970625869. The reversal of 970625856 is 658526079.

It is a happy number.

It is a super-2 number, since 2×9706258562 = 1884229104671465472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4765 + ... + 44316.

Almost surely, 2970625856 is an apocalyptic number.

970625856 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 970625856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296550112).

970625856 is an abundant number, since it is smaller than the sum of its proper divisors (1622474368).

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

970625856 is a wasteful number, since it uses less digits than its factorization.

970625856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49199 (or 49189 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 48.

The square root of 970625856 is about 31154.8688971724. The cubic root of 970625856 is about 990.1111516870. Note that the first 4 decimals are identical.

The spelling of 970625856 in words is "nine hundred seventy million, six hundred twenty-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 103 192 206 309 412 618 824 1236 1648 2472 3296 4944 6592 9888 19776 49081 98162 147243 196324 294486 392648 588972 785296 1177944 1570592 2355888 3141184 4711776 5055343 9423552 10110686 15166029 20221372 30332058 40442744 60664116 80885488 121328232 161770976 242656464 323541952 485312928 970625856