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78418494 = 232711291951
BaseRepresentation
bin1001010110010…
…01001000111110
312110120001221200
410223021020332
5130033342434
611440440330
71641355230
oct453111076
9173501850
1078418494
11402a0a80
12223190a6
131332859b
14a5b4250
156d40199
hex4ac923e

78418494 has 96 divisors (see below), whose sum is σ = 219248640. Its totient is φ = 19656000.

The previous prime is 78418463. The next prime is 78418519. The reversal of 78418494 is 49481487.

It is a super-2 number, since 2×784184942 = 12298920402456072, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39219 + ... + 41169.

It is an arithmetic number, because the mean of its divisors is an integer number (2283840).

Almost surely, 278418494 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78418494, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109624320).

78418494 is an abundant number, since it is smaller than the sum of its proper divisors (140830146).

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

78418494 is a wasteful number, since it uses less digits than its factorization.

78418494 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2006 (or 2003 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 78418494 is about 8855.4217290878. The cubic root of 78418494 is about 428.0286432340.

The spelling of 78418494 in words is "seventy-eight million, four hundred eighteen thousand, four hundred ninety-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 29 33 42 58 63 66 77 87 99 126 154 174 198 203 231 261 319 406 462 522 609 638 693 957 1218 1386 1827 1914 1951 2233 2871 3654 3902 4466 5742 5853 6699 11706 13398 13657 17559 20097 21461 27314 35118 40194 40971 42922 56579 64383 81942 113158 122913 128766 150227 169737 193149 245826 300454 339474 386298 396053 450681 509211 622369 792106 901362 1018422 1188159 1244738 1352043 1867107 2376318 2704086 3564477 3734214 4356583 5601321 7128954 8713166 11202642 13069749 26139498 39209247 78418494