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861284352 = 21131031361
BaseRepresentation
bin110011010101100…
…010100000000000
32020000122210000110
4303111202200000
53230442044402
6221244151320
730225540045
oct6325424000
92200583013
10861284352
11402199755
12200538540
1310958c616
148255d1cc
155093056c
hex33562800

861284352 has 96 divisors (see below), whose sum is σ = 2320194240. Its totient is φ = 284098560.

The previous prime is 861284329. The next prime is 861284363. The reversal of 861284352 is 253482168.

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

It is a self number, because there is not a number n which added to its sum of digits gives 861284352.

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, 632152 + ... + 633512.

It is an arithmetic number, because the mean of its divisors is an integer number (24168690).

Almost surely, 2861284352 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 861284352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1160097120).

861284352 is an abundant number, since it is smaller than the sum of its proper divisors (1458909888).

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

861284352 is a wasteful number, since it uses less digits than its factorization.

861284352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1489 (or 1469 counting only the distinct ones).

The product of its digits is 92160, while the sum is 39.

The square root of 861284352 is about 29347.6464473729. The cubic root of 861284352 is about 951.4417082967.

The spelling of 861284352 in words is "eight hundred sixty-one million, two hundred eighty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 103 128 192 206 256 309 384 412 512 618 768 824 1024 1236 1361 1536 1648 2048 2472 2722 3072 3296 4083 4944 5444 6144 6592 8166 9888 10888 13184 16332 19776 21776 26368 32664 39552 43552 52736 65328 79104 87104 105472 130656 140183 158208 174208 210944 261312 280366 316416 348416 420549 522624 560732 632832 696832 841098 1045248 1121464 1393664 1682196 2090496 2242928 2787328 3364392 4180992 4485856 6728784 8361984 8971712 13457568 17943424 26915136 35886848 53830272 71773696 107660544 143547392 215321088 287094784 430642176 861284352