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78429348 = 22322817753
BaseRepresentation
bin1001010110010…
…11110010100100
312110120121211200
410223023302210
5130034214343
611441002500
71641431664
oct453136244
9173517750
1078429348
11402a9148
1222323430
13133304ca
14a5b81a4
156d434d3
hex4acbca4

78429348 has 36 divisors (see below), whose sum is σ = 198983148. Its totient is φ = 26046720.

The previous prime is 78429343. The next prime is 78429367. The reversal of 78429348 is 84392487.

78429348 is nontrivially palindromic in base 16.

It can be written as a sum of positive squares in 2 ways, for example, as 69856164 + 8573184 = 8358^2 + 2928^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (78429341) 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 11 ways as a sum of consecutive naturals, for example, 6240 + ... + 13992.

Almost surely, 278429348 is an apocalyptic number.

It is an amenable number.

78429348 is an abundant number, since it is smaller than the sum of its proper divisors (120553800).

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

78429348 is a wasteful number, since it uses less digits than its factorization.

78429348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8044 (or 8039 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 78429348 is about 8856.0345527781. The cubic root of 78429348 is about 428.0483903129.

The spelling of 78429348 in words is "seventy-eight million, four hundred twenty-nine thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 281 562 843 1124 1686 2529 3372 5058 7753 10116 15506 23259 31012 46518 69777 93036 139554 279108 2178593 4357186 6535779 8714372 13071558 19607337 26143116 39214674 78429348