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3965248 = 26753167
BaseRepresentation
bin1111001000000101000000
321110110022001
433020011000
52003341443
6220553344
745463330
oct17100500
97413261
103965248
112269171
1213b2854
13a8ab01
147530c0
15534d4d
hex3c8140

3965248 has 56 divisors (see below), whose sum is σ = 9217152. Its totient is φ = 1657344.

The previous prime is 3965231. The next prime is 3965309. The reversal of 3965248 is 8425693.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23661 + ... + 23827.

It is an arithmetic number, because the mean of its divisors is an integer number (164592).

Almost surely, 23965248 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 3965248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4608576).

3965248 is an abundant number, since it is smaller than the sum of its proper divisors (5251904).

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

3965248 is a wasteful number, since it uses less digits than its factorization.

3965248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 229 counting only the distinct ones).

The product of its digits is 51840, while the sum is 37.

The square root of 3965248 is about 1991.2930472434. The cubic root of 3965248 is about 158.2790560648.

The spelling of 3965248 in words is "three million, nine hundred sixty-five thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 64 106 112 167 212 224 334 371 424 448 668 742 848 1169 1336 1484 1696 2338 2672 2968 3392 4676 5344 5936 8851 9352 10688 11872 17702 18704 23744 35404 37408 61957 70808 74816 123914 141616 247828 283232 495656 566464 991312 1982624 3965248