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970524040 = 235592111949
BaseRepresentation
bin111001110110010…
…000010110001000
32111122012201200211
4321312100112020
53441423232130
6240145410504
733023214103
oct7166202610
92448181624
10970524040
11458921092
12231039a34
131260b98a5
1492c7773a
155a30ca2a
hex39d90588

970524040 has 64 divisors (see below), whose sum is σ = 2232360000. Its totient is φ = 379626240.

The previous prime is 970524019. The next prime is 970524053. The reversal of 970524040 is 40425079.

It is a junction number, because it is equal to n+sod(n) for n = 970523993 and 970524011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 496986 + ... + 498934.

It is an arithmetic number, because the mean of its divisors is an integer number (34880625).

Almost surely, 2970524040 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 970524040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1116180000).

970524040 is an abundant number, since it is smaller than the sum of its proper divisors (1261835960).

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

970524040 is a wasteful number, since it uses less digits than its factorization.

970524040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2230 (or 2226 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 970524040 is about 31153.2348240115. The cubic root of 970524040 is about 990.0765304916.

The spelling of 970524040 in words is "nine hundred seventy million, five hundred twenty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 59 118 211 236 295 422 472 590 844 1055 1180 1688 1949 2110 2360 3898 4220 7796 8440 9745 12449 15592 19490 24898 38980 49796 62245 77960 99592 114991 124490 229982 248980 411239 459964 497960 574955 822478 919928 1149910 1644956 2056195 2299820 3289912 4112390 4599640 8224780 16449560 24263101 48526202 97052404 121315505 194104808 242631010 485262020 970524040