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970950448 = 241337791597
BaseRepresentation
bin111001110111111…
…000011100110000
32111200000101121201
4321313320130300
53442030403243
6240202500544
733026641216
oct7167703460
92450011551
10970950448
11459092496
12231204754
131262089c0
1492d48cb6
155a39404d
hex39df8730

970950448 has 80 divisors (see below), whose sum is σ = 2108337280. Its totient is φ = 430230528.

The previous prime is 970950439. The next prime is 970950467. The reversal of 970950448 is 844059079.

It is a junction number, because it is equal to n+sod(n) for n = 970950398 and 970950407.

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 15 ways as a sum of consecutive naturals, for example, 607186 + ... + 608782.

It is an arithmetic number, because the mean of its divisors is an integer number (26354216).

Almost surely, 2970950448 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 970950448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1054168640).

970950448 is an abundant number, since it is smaller than the sum of its proper divisors (1137386832).

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

970950448 is a wasteful number, since it uses less digits than its factorization.

970950448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1734 (or 1728 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The square root of 970950448 is about 31160.0777919440. The cubic root of 970950448 is about 990.2215087789.

The spelling of 970950448 in words is "nine hundred seventy million, nine hundred fifty thousand, four hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 37 52 74 79 104 148 158 208 296 316 481 592 632 962 1027 1264 1597 1924 2054 2923 3194 3848 4108 5846 6388 7696 8216 11692 12776 16432 20761 23384 25552 37999 41522 46768 59089 75998 83044 118178 126163 151996 166088 236356 252326 303992 332176 472712 504652 607984 768157 945424 1009304 1536314 1640119 2018608 3072628 3280238 4668031 6145256 6560476 9336062 12290512 13120952 18672124 26241904 37344248 60684403 74688496 121368806 242737612 485475224 970950448