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861898968 = 233471391367
BaseRepresentation
bin110011010111111…
…000100011011000
32020001211000010000
4303113320203120
53231121231333
6221305253000
730234006660
oct6327704330
92201730100
10861898968
114025794a7
12200794160
131097462b8
148267d1a0
1550a02713
hex335f88d8

861898968 has 160 divisors (see below), whose sum is σ = 2780870400. Its totient is φ = 244306368.

The previous prime is 861898907. The next prime is 861898981. The reversal of 861898968 is 869898168.

861898968 is a `hidden beast` number, since 8 + 618 + 9 + 8 + 9 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 629821 + ... + 631187.

It is an arithmetic number, because the mean of its divisors is an integer number (17380440).

Almost surely, 2861898968 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 861898968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1390435200).

861898968 is an abundant number, since it is smaller than the sum of its proper divisors (1918971432).

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

861898968 is a wasteful number, since it uses less digits than its factorization.

861898968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1531 (or 1518 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 63.

The square root of 861898968 is about 29358.1158795996. The cubic root of 861898968 is about 951.6679720358.

The spelling of 861898968 in words is "eight hundred sixty-one million, eight hundred ninety-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 139 162 168 189 216 252 278 324 378 417 504 556 567 648 756 834 973 1112 1134 1251 1367 1512 1668 1946 2268 2502 2734 2919 3336 3753 3892 4101 4536 5004 5468 5838 7506 7784 8202 8757 9569 10008 10936 11259 11676 12303 15012 16404 17514 19138 22518 23352 24606 26271 28707 30024 32808 35028 36909 38276 45036 49212 52542 57414 70056 73818 76552 78813 86121 90072 98424 105084 110727 114828 147636 157626 172242 190013 210168 221454 229656 258363 295272 315252 344484 380026 442908 516726 570039 630504 688968 760052 775089 885816 1033452 1140078 1330091 1520104 1550178 1710117 2066904 2280156 2660182 3100356 3420234 3990273 4560312 5130351 5320364 6200712 6840468 7980546 10260702 10640728 11970819 13680936 15391053 15961092 20521404 23941638 30782106 31922184 35912457 41042808 47883276 61564212 71824914 95766552 107737371 123128424 143649828 215474742 287299656 430949484 861898968