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858472704 = 28322391559
BaseRepresentation
bin110011001010110…
…100000100000000
32012211100221011100
4303022310010000
53224232111304
6221104014400
730162616605
oct6312640400
92184327140
10858472704
11400649281
121bb601400
13108b1691b
148202a6ac
1550577439
hex332b4100

858472704 has 108 divisors (see below), whose sum is σ = 2487139200. Its totient is φ = 284777472.

The previous prime is 858472679. The next prime is 858472709. The reversal of 858472704 is 407274858.

It is a cake number, because a cake can be divided into 858472704 parts by 1727 planar cuts.

It is a self number, because there is not a number n which added to its sum of digits gives 858472704.

It is not an unprimeable number, because it can be changed into a prime (858472709) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 549877 + ... + 551435.

Almost surely, 2858472704 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 858472704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1243569600).

858472704 is an abundant number, since it is smaller than the sum of its proper divisors (1628666496).

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

858472704 is a wasteful number, since it uses less digits than its factorization.

858472704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1820 (or 1803 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The square root of 858472704 is about 29299.7048449298. The cubic root of 858472704 is about 950.4052579378.

The spelling of 858472704 in words is "eight hundred fifty-eight million, four hundred seventy-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 239 256 288 384 478 576 717 768 956 1152 1434 1559 1912 2151 2304 2868 3118 3824 4302 4677 5736 6236 7648 8604 9354 11472 12472 14031 15296 17208 18708 22944 24944 28062 30592 34416 37416 45888 49888 56124 61184 68832 74832 91776 99776 112248 137664 149664 183552 199552 224496 275328 299328 372601 399104 448992 550656 598656 745202 897984 1117803 1197312 1490404 1795968 2235606 2980808 3353409 3591936 4471212 5961616 6706818 8942424 11923232 13413636 17884848 23846464 26827272 35769696 47692928 53654544 71539392 95385856 107309088 143078784 214618176 286157568 429236352 858472704