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78729380 = 22517253257
BaseRepresentation
bin1001011000101…
…01000010100100
312111010212101222
410230111002210
5130123320010
611451235512
71644121502
oct454250244
9174125358
1078729380
1140493604
1222448b98
1313406c42
14a655672
156da2355
hex4b150a4

78729380 has 72 divisors (see below), whose sum is σ = 179639208. Its totient is φ = 28966912.

The previous prime is 78729373. The next prime is 78729419. The reversal of 78729380 is 8392787.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 5866084 + 72863296 = 2422^2 + 8536^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 306212 + ... + 306468.

It is an arithmetic number, because the mean of its divisors is an integer number (2494989).

Almost surely, 278729380 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 78729380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89819604).

78729380 is an abundant number, since it is smaller than the sum of its proper divisors (100909828).

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

78729380 is a wasteful number, since it uses less digits than its factorization.

78729380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 44.

The square root of 78729380 is about 8872.9577932051. The cubic root of 78729380 is about 428.5935297597.

The spelling of 78729380 in words is "seventy-eight million, seven hundred twenty-nine thousand, three hundred eighty".

Divisors: 1 2 4 5 10 17 20 34 53 68 85 106 170 212 257 265 289 340 514 530 578 901 1028 1060 1156 1285 1445 1802 2570 2890 3604 4369 4505 5140 5780 8738 9010 13621 15317 17476 18020 21845 27242 30634 43690 54484 61268 68105 74273 76585 87380 136210 148546 153170 231557 272420 297092 306340 371365 463114 742730 926228 1157785 1485460 2315570 3936469 4631140 7872938 15745876 19682345 39364690 78729380