Search a number
-
+
860626944 = 213341297
BaseRepresentation
bin110011010011000…
…010000000000000
32012222102101020000
4303103002000000
53230310030234
6221222120000
730220131312
oct6323020000
92188371200
10860626944
1140188a841
12200280000
131093bc318
148242b7b2
1550850899
hex334c2000

860626944 has 140 divisors (see below), whose sum is σ = 2573081214. Its totient is φ = 286654464.

The previous prime is 860626937. The next prime is 860626961. The reversal of 860626944 is 449626068.

It can be written as a sum of positive squares in only one way, i.e., 454201344 + 406425600 = 21312^2 + 20160^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 860626944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 662904 + ... + 664200.

Almost surely, 2860626944 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 860626944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1286540607).

860626944 is an abundant number, since it is smaller than the sum of its proper divisors (1712454270).

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

860626944 is an equidigital number, since it uses as much as digits as its factorization.

860626944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1335 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 860626944 is about 29336.4439562807. The cubic root of 860626944 is about 951.1995720040.

The spelling of 860626944 in words is "eight hundred sixty million, six hundred twenty-six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1297 1536 1728 2048 2304 2592 2594 3072 3456 3891 4096 4608 5184 5188 6144 6912 7782 8192 9216 10368 10376 11673 12288 13824 15564 18432 20736 20752 23346 24576 27648 31128 35019 36864 41472 41504 46692 55296 62256 70038 73728 82944 83008 93384 105057 110592 124512 140076 165888 166016 186768 210114 221184 249024 280152 331776 332032 373536 420228 498048 560304 663552 664064 747072 840456 996096 1120608 1328128 1494144 1680912 1992192 2241216 2656256 2988288 3361824 3984384 4482432 5312512 5976576 6723648 7968768 8964864 10625024 11953152 13447296 15937536 17929728 23906304 26894592 31875072 35859456 47812608 53789184 71718912 95625216 107578368 143437824 215156736 286875648 430313472 860626944