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78026208 = 25313103607
BaseRepresentation
bin1001010011010…
…01010111100000
312102211010211120
410221221113200
5124433314313
611424212240
71635132441
oct451512740
9172733746
1078026208
1140053277
122216a080
131321bb70
14a5112c8
156cb3d23
hex4a695e0

78026208 has 96 divisors (see below), whose sum is σ = 223082496. Its totient is φ = 23735808.

The previous prime is 78026203. The next prime is 78026227. The reversal of 78026208 is 80262087.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78026203) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128241 + ... + 128847.

It is an arithmetic number, because the mean of its divisors is an integer number (2323776).

Almost surely, 278026208 is an apocalyptic number.

78026208 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78026208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111541248).

78026208 is an abundant number, since it is smaller than the sum of its proper divisors (145056288).

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

78026208 is a wasteful number, since it uses less digits than its factorization.

78026208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 78026208 is about 8833.2444775405. The cubic root of 78026208 is about 427.3137165884.

The spelling of 78026208 in words is "seventy-eight million, twenty-six thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 103 104 156 206 208 309 312 412 416 607 618 624 824 1214 1236 1248 1339 1648 1821 2428 2472 2678 3296 3642 4017 4856 4944 5356 7284 7891 8034 9712 9888 10712 14568 15782 16068 19424 21424 23673 29136 31564 32136 42848 47346 58272 62521 63128 64272 94692 125042 126256 128544 187563 189384 250084 252512 375126 378768 500168 750252 757536 812773 1000336 1500504 1625546 2000672 2438319 3001008 3251092 4876638 6002016 6502184 9753276 13004368 19506552 26008736 39013104 78026208