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3979248 = 243713911
BaseRepresentation
bin1111001011011111110000
321111011111120
433023133300
52004313443
6221142240
745552210
oct17133760
97434446
103979248
112278739
1213ba980
13a942b0
14758240
15539083
hex3cb7f0

3979248 has 80 divisors (see below), whose sum is σ = 12665856. Its totient is φ = 1048320.

The previous prime is 3979247. The next prime is 3979259. The reversal of 3979248 is 8429793.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3979247) 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, 3913 + ... + 4823.

Almost surely, 23979248 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 3979248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6332928).

3979248 is an abundant number, since it is smaller than the sum of its proper divisors (8686608).

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

3979248 is a wasteful number, since it uses less digits than its factorization.

3979248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 936 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 3979248 is about 1994.8052536526. The cubic root of 3979248 is about 158.4651145414.

The spelling of 3979248 in words is "three million, nine hundred seventy-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 624 728 911 1092 1456 1822 2184 2733 3644 4368 5466 6377 7288 10932 11843 12754 14576 19131 21864 23686 25508 35529 38262 43728 47372 51016 71058 76524 82901 94744 102032 142116 153048 165802 189488 248703 284232 306096 331604 497406 568464 663208 994812 1326416 1989624 3979248