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3944928 = 2531329109
BaseRepresentation
bin1111000011000111100000
321102102102110
433003013200
52002214203
6220315320
745350151
oct17030740
97372373
103944928
112254979
1213a2b40
13a817a0
14749928
1552dd03
hex3c31e0

3944928 has 96 divisors (see below), whose sum is σ = 11642400. Its totient is φ = 1161216.

The previous prime is 3944921. The next prime is 3944933. The reversal of 3944928 is 8294493.

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

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3944921) 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, 36138 + ... + 36246.

It is an arithmetic number, because the mean of its divisors is an integer number (121275).

Almost surely, 23944928 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 3944928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5821200).

3944928 is an abundant number, since it is smaller than the sum of its proper divisors (7697472).

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

3944928 is a wasteful number, since it uses less digits than its factorization.

3944928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 156 counting only the distinct ones).

The product of its digits is 62208, while the sum is 39.

The square root of 3944928 is about 1986.1842814804. The cubic root of 3944928 is about 158.0082247494.

The spelling of 3944928 in words is "three million, nine hundred forty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 32 39 48 52 58 78 87 96 104 109 116 156 174 208 218 232 312 327 348 377 416 436 464 624 654 696 754 872 928 1131 1248 1308 1392 1417 1508 1744 2262 2616 2784 2834 3016 3161 3488 4251 4524 5232 5668 6032 6322 8502 9048 9483 10464 11336 12064 12644 17004 18096 18966 22672 25288 34008 36192 37932 41093 45344 50576 68016 75864 82186 101152 123279 136032 151728 164372 246558 303456 328744 493116 657488 986232 1314976 1972464 3944928