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3921376 = 25315967
BaseRepresentation
bin1110111101010111100000
321101020010011
432331113200
52000441001
6220014304
745221404
oct16752740
97336104
103921376
112239208
121391394
13a73b54
14741104
15526d51
hex3bd5e0

3921376 has 48 divisors (see below), whose sum is σ = 8225280. Its totient is φ = 1837440.

The previous prime is 3921367. The next prime is 3921377. The reversal of 3921376 is 6731293.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3921377) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 58495 + ... + 58561.

It is an arithmetic number, because the mean of its divisors is an integer number (171360).

Almost surely, 23921376 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 3921376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4112640).

3921376 is an abundant number, since it is smaller than the sum of its proper divisors (4303904).

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

3921376 is a wasteful number, since it uses less digits than its factorization.

3921376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 159 counting only the distinct ones).

The product of its digits is 6804, while the sum is 31.

The square root of 3921376 is about 1980.2464493088. The cubic root of 3921376 is about 157.6931501168.

The spelling of 3921376 in words is "three million, nine hundred twenty-one thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 31 32 59 62 67 118 124 134 236 248 268 472 496 536 944 992 1072 1829 1888 2077 2144 3658 3953 4154 7316 7906 8308 14632 15812 16616 29264 31624 33232 58528 63248 66464 122543 126496 245086 490172 980344 1960688 3921376