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4076705248 = 2571115110957
BaseRepresentation
bin1111001011111101…
…1001010111100000
3101112010001002021021
43302333121113200
531322114031443
61512305535224
7203011265020
oct36277312740
911463032237
104076705248
111802214aa0
12959344514
134cc79a235
142a95dda80
1518cd779ed
hexf2fd95e0

4076705248 has 96 divisors (see below), whose sum is σ = 10073645568. Its totient is φ = 1577664000.

The previous prime is 4076705239. The next prime is 4076705267. The reversal of 4076705248 is 8425076704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 366586 + ... + 377542.

It is an arithmetic number, because the mean of its divisors is an integer number (104933808).

Almost surely, 24076705248 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 4076705248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5036822784).

4076705248 is an abundant number, since it is smaller than the sum of its proper divisors (5996940320).

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

4076705248 is a wasteful number, since it uses less digits than its factorization.

4076705248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11136 (or 11128 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 43.

The square root of 4076705248 is about 63849.0818101560. The cubic root of 4076705248 is about 1597.4837072438.

The spelling of 4076705248 in words is "four billion, seventy-six million, seven hundred five thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 151 154 176 224 302 308 352 604 616 1057 1208 1232 1661 2114 2416 2464 3322 4228 4832 6644 8456 10957 11627 13288 16912 21914 23254 26576 33824 43828 46508 53152 76699 87656 93016 120527 153398 175312 186032 241054 306796 350624 372064 482108 613592 843689 964216 1227184 1654507 1687378 1928432 2454368 3309014 3374756 3856864 6618028 6749512 11581549 13236056 13499024 18199577 23163098 26472112 26998048 36399154 46326196 52944224 72798308 92652392 127397039 145596616 185304784 254794078 291193232 370609568 509588156 582386464 1019176312 2038352624 4076705248