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870535648 = 25232694397
BaseRepresentation
bin110011111000110…
…101000111100000
32020200001210102001
4303320311013200
53240324120043
6222214333344
730400300543
oct6370650740
92220053361
10870535648
11407438354
1220365a254
1310b47b468
148388a85a
155165b74d
hex33e351e0

870535648 has 48 divisors (see below), whose sum is σ = 1795439520. Its totient is φ = 414701056.

The previous prime is 870535639. The next prime is 870535661. The reversal of 870535648 is 846535078.

870535648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a junction number, because it is equal to n+sod(n) for n = 870535598 and 870535607.

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, 195786 + ... + 200182.

It is an arithmetic number, because the mean of its divisors is an integer number (37404990).

Almost surely, 2870535648 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 870535648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897719760).

870535648 is an abundant number, since it is smaller than the sum of its proper divisors (924903872).

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

870535648 is a wasteful number, since it uses less digits than its factorization.

870535648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4699 (or 4691 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 46.

The square root of 870535648 is about 29504.8410943018. The cubic root of 870535648 is about 954.8361507228.

The spelling of 870535648 in words is "eight hundred seventy million, five hundred thirty-five thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 23 32 46 92 184 269 368 538 736 1076 2152 4304 4397 6187 8608 8794 12374 17588 24748 35176 49496 70352 98992 101131 140704 197984 202262 404524 809048 1182793 1618096 2365586 3236192 4731172 9462344 18924688 27204239 37849376 54408478 108816956 217633912 435267824 870535648