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78981448 = 23713235389
BaseRepresentation
bin1001011010100…
…10100101001000
312111121200011211
410231102211020
5130204401243
611500502504
71646221420
oct455224510
9174550154
1078981448
1140645a27
122254aa34
13134948b0
14a6bd480
156e01d9d
hex4b52948

78981448 has 128 divisors (see below), whose sum is σ = 195955200. Its totient is φ = 28993536.

The previous prime is 78981443. The next prime is 78981467. The reversal of 78981448 is 84418987.

It is not an unprimeable number, because it can be changed into a prime (78981443) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 887388 + ... + 887476.

It is an arithmetic number, because the mean of its divisors is an integer number (1530900).

Almost surely, 278981448 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 78981448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97977600).

78981448 is an abundant number, since it is smaller than the sum of its proper divisors (116973752).

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

78981448 is a wasteful number, since it uses less digits than its factorization.

78981448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 187 counting only the distinct ones).

The product of its digits is 516096, while the sum is 49.

The square root of 78981448 is about 8887.1507245011. The cubic root of 78981448 is about 429.0504520260.

The spelling of 78981448 in words is "seventy-eight million, nine hundred eighty-one thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 13 14 23 26 28 46 52 53 56 89 91 92 104 106 161 178 182 184 212 299 322 356 364 371 424 598 623 644 689 712 728 742 1157 1196 1219 1246 1288 1378 1484 2047 2093 2314 2392 2438 2492 2756 2968 4094 4186 4628 4717 4823 4876 4984 5512 8099 8188 8372 8533 9256 9434 9646 9752 14329 15847 16198 16376 16744 17066 18868 19292 26611 28658 31694 32396 33019 34132 37736 38584 53222 57316 61321 63388 64792 66038 68264 106444 108491 110929 114632 122642 126776 132076 186277 212888 216982 221858 245284 264152 372554 429247 433964 443716 490568 745108 759437 858494 867928 887432 1410383 1490216 1518874 1716988 2820766 3037748 3433976 5641532 6075496 9872681 11283064 19745362 39490724 78981448