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78425100 = 223252136703
BaseRepresentation
bin1001010110010…
…10110000001100
312110120102000100
410223022300030
5130034100400
611440531100
71641413415
oct453126014
9173512010
1078425100
11402a5a36
1222320a90
131332b5b0
14a5b680c
156d42100
hex4acac0c

78425100 has 108 divisors (see below), whose sum is σ = 264767776. Its totient is φ = 19301760.

The previous prime is 78425069. The next prime is 78425119. The reversal of 78425100 is 152487.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8349 + ... + 15051.

Almost surely, 278425100 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 78425100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132383888).

78425100 is an abundant number, since it is smaller than the sum of its proper divisors (186342676).

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

78425100 is a wasteful number, since it uses less digits than its factorization.

78425100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6736 (or 6726 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 78425100 is about 8855.7947130678. The cubic root of 78425100 is about 428.0406619883.

Adding to 78425100 its reverse (152487), we get a palindrome (78577587).

The spelling of 78425100 in words is "seventy-eight million, four hundred twenty-five thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 25 26 30 36 39 45 50 52 60 65 75 78 90 100 117 130 150 156 180 195 225 234 260 300 325 390 450 468 585 650 780 900 975 1170 1300 1950 2340 2925 3900 5850 6703 11700 13406 20109 26812 33515 40218 60327 67030 80436 87139 100545 120654 134060 167575 174278 201090 241308 261417 301635 335150 348556 402180 435695 502725 522834 603270 670300 784251 871390 1005450 1045668 1206540 1307085 1508175 1568502 1742780 2010900 2178475 2614170 3016350 3137004 3921255 4356950 5228340 6032700 6535425 7842510 8713900 13070850 15685020 19606275 26141700 39212550 78425100