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861913248 = 253710711987
BaseRepresentation
bin110011010111111…
…100000010100000
32020001211201200220
4303113330002200
53231122210443
6221305443040
730234066420
oct6327740240
92201751626
10861913248
114025891a9
122007a0480
1310974c951
1482684480
1550a06a83
hex335fc0a0

861913248 has 96 divisors (see below), whose sum is σ = 2610123264. Its totient is φ = 243939072.

The previous prime is 861913231. The next prime is 861913253. The reversal of 861913248 is 842319168.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 65911 + ... + 77897.

It is an arithmetic number, because the mean of its divisors is an integer number (27188784).

Almost surely, 2861913248 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 861913248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1305061632).

861913248 is an abundant number, since it is smaller than the sum of its proper divisors (1748210016).

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

861913248 is a wasteful number, since it uses less digits than its factorization.

861913248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12114 (or 12106 counting only the distinct ones).

The product of its digits is 82944, while the sum is 42.

The square root of 861913248 is about 29358.3590822103. The cubic root of 861913248 is about 951.6732277731.

The spelling of 861913248 in words is "eight hundred sixty-one million, nine hundred thirteen thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 107 112 168 214 224 321 336 428 642 672 749 856 1284 1498 1712 2247 2568 2996 3424 4494 5136 5992 8988 10272 11984 11987 17976 23968 23974 35952 35961 47948 71904 71922 83909 95896 143844 167818 191792 251727 287688 335636 383584 503454 575376 671272 1006908 1150752 1282609 1342544 2013816 2565218 2685088 3847827 4027632 5130436 7695654 8055264 8978263 10260872 15391308 17956526 20521744 26934789 30782616 35913052 41043488 53869578 61565232 71826104 107739156 123130464 143652208 215478312 287304416 430956624 861913248