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3976896 = 263711269
BaseRepresentation
bin1111001010111011000000
321111001021110
433022323000
52004230041
6221123320
745542310
oct17127300
97431243
103976896
1122769a0
1213b9540
13a931c1
14757440
15538516
hex3caec0

3976896 has 112 divisors (see below), whose sum is σ = 13167360. Its totient is φ = 1029120.

The previous prime is 3976879. The next prime is 3976913. The reversal of 3976896 is 6986793.

It is a happy number.

3976896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3976879) and next prime (3976913).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14650 + ... + 14918.

Almost surely, 23976896 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 3976896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6583680).

3976896 is an abundant number, since it is smaller than the sum of its proper divisors (9190464).

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

3976896 is a wasteful number, since it uses less digits than its factorization.

3976896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 292 counting only the distinct ones).

The product of its digits is 489888, while the sum is 48.

The square root of 3976896 is about 1994.2156352812. The cubic root of 3976896 is about 158.4338872504.

The spelling of 3976896 in words is "three million, nine hundred seventy-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 132 154 168 176 192 224 231 264 269 308 336 352 448 462 528 538 616 672 704 807 924 1056 1076 1232 1344 1614 1848 1883 2112 2152 2464 2959 3228 3696 3766 4304 4928 5649 5918 6456 7392 7532 8608 8877 11298 11836 12912 14784 15064 17216 17754 20713 22596 23672 25824 30128 35508 41426 45192 47344 51648 60256 62139 71016 82852 90384 94688 120512 124278 142032 165704 180768 189376 248556 284064 331408 361536 497112 568128 662816 994224 1325632 1988448 3976896