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3995411728 = 247117941051
BaseRepresentation
bin1110111000100101…
…0010010100010000
3101022110001221112011
43232021102110100
531140311133403
61500243312304
7201003303460
oct35611222420
911273057464
103995411728
11177033aa70
1293607b694
134b89a6169
1429c8bbba0
15185b6aa6d
hexee252510

3995411728 has 80 divisors (see below), whose sum is σ = 9773660160. Its totient is φ = 1536912000.

The previous prime is 3995411699. The next prime is 3995411741. The reversal of 3995411728 is 8271145993.

It is a happy number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 76803 + ... + 117853.

It is an arithmetic number, because the mean of its divisors is an integer number (122170752).

Almost surely, 23995411728 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 3995411728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4886830080).

3995411728 is an abundant number, since it is smaller than the sum of its proper divisors (5778248432).

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

3995411728 is a wasteful number, since it uses less digits than its factorization.

3995411728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41156 (or 41150 counting only the distinct ones).

The product of its digits is 544320, while the sum is 49.

The square root of 3995411728 is about 63209.2693202508. The cubic root of 3995411728 is about 1586.7938674317.

The spelling of 3995411728 in words is "three billion, nine hundred ninety-five million, four hundred eleven thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 79 88 112 154 158 176 308 316 553 616 632 869 1106 1232 1264 1738 2212 3476 4424 6083 6952 8848 12166 13904 24332 41051 48664 82102 97328 164204 287357 328408 451561 574714 656816 903122 1149428 1806244 2298856 3160927 3243029 3612488 4597712 6321854 6486058 7224976 12643708 12972116 22701203 25287416 25944232 35673319 45402406 50574832 51888464 71346638 90804812 142693276 181609624 249713233 285386552 363219248 499426466 570773104 998852932 1997705864 3995411728