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78243744 = 25341103193
BaseRepresentation
bin1001010100111…
…10011110100000
312110020012020110
410222132132200
5130012244434
611433011320
71640026605
oct452363640
9173205213
1078243744
1140191757
1222253b40
1313296b97
14a56a6ac
156d084e9
hex4a9e7a0

78243744 has 96 divisors (see below), whose sum is σ = 213542784. Its totient is φ = 25067520.

The previous prime is 78243743. The next prime is 78243757. The reversal of 78243744 is 44734287.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×782437442 = 12244166950275072, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78243743) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 405312 + ... + 405504.

It is an arithmetic number, because the mean of its divisors is an integer number (2224404).

Almost surely, 278243744 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 78243744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106771392).

78243744 is an abundant number, since it is smaller than the sum of its proper divisors (135299040).

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

78243744 is a wasteful number, since it uses less digits than its factorization.

78243744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 342 counting only the distinct ones).

The product of its digits is 150528, while the sum is 39.

The square root of 78243744 is about 8845.5493893822. The cubic root of 78243744 is about 427.7104630398.

It can be divided in two parts, 78243 and 744, that added together give a palindrome (78987).

The spelling of 78243744 in words is "seventy-eight million, two hundred forty-three thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 103 123 164 193 206 246 309 328 386 412 492 579 618 656 772 824 984 1158 1236 1312 1544 1648 1968 2316 2472 3088 3296 3936 4223 4632 4944 6176 7913 8446 9264 9888 12669 15826 16892 18528 19879 23739 25338 31652 33784 39758 47478 50676 59637 63304 67568 79516 94956 101352 119274 126608 135136 159032 189912 202704 238548 253216 318064 379824 405408 477096 636128 759648 815039 954192 1630078 1908384 2445117 3260156 4890234 6520312 9780468 13040624 19560936 26081248 39121872 78243744