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4240929704 = 23112331257263
BaseRepresentation
bin1111110011000111…
…0111001110101000
3101221120001112212112
43330301313032220
532141134222304
61540453501452
7210044210354
oct37461671650
911846045775
104240929704
111886992290
129a4341888
1352780977b
142c334c464
1519c4b6b6e
hexfcc773a8

4240929704 has 128 divisors (see below), whose sum is σ = 9415802880. Its totient is φ = 1770700800.

The previous prime is 4240929691. The next prime is 4240929757. The reversal of 4240929704 is 4079290424.

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 31 ways as a sum of consecutive naturals, for example, 16125077 + ... + 16125339.

It is an arithmetic number, because the mean of its divisors is an integer number (73560960).

Almost surely, 24240929704 is an apocalyptic number.

4240929704 is a gapful number since it is divisible by the number (44) 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 4240929704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4707901440).

4240929704 is an abundant number, since it is smaller than the sum of its proper divisors (5174873176).

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

4240929704 is a wasteful number, since it uses less digits than its factorization.

4240929704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 41.

The square root of 4240929704 is about 65122.4209009462. The cubic root of 4240929704 is about 1618.6527568503.

The spelling of 4240929704 in words is "four billion, two hundred forty million, nine hundred twenty-nine thousand, seven hundred four".

Divisors: 1 2 4 8 11 22 23 31 44 46 62 88 92 124 184 248 253 257 263 341 506 514 526 682 713 1012 1028 1052 1364 1426 2024 2056 2104 2728 2827 2852 2893 5654 5704 5786 5911 6049 7843 7967 8153 11308 11572 11822 12098 15686 15934 16306 22616 23144 23644 24196 31372 31868 32612 47288 48392 62744 63736 65021 65224 66539 67591 87637 89683 130042 133078 135182 175274 179366 183241 187519 260084 266156 270364 350548 358732 366482 375038 520168 532312 540728 701096 717464 732964 743501 750076 1465928 1487002 1500152 1554593 2015651 2062709 2095321 2974004 3109186 4031302 4125418 4190642 5948008 6218372 8062604 8250836 8381284 12436744 16125208 16501672 16762568 17100523 23048531 34201046 46097062 48192383 68402092 92194124 96384766 136804184 184388248 192769532 385539064 530116213 1060232426 2120464852 4240929704