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3977376 = 253133187
BaseRepresentation
bin1111001011000010100000
321111001221020
433023002200
52004234001
6221125440
745543564
oct17130240
97431836
103977376
112277297
1213b9880
13a934a0
147576a4
15538736
hex3cb0a0

3977376 has 48 divisors (see below), whose sum is σ = 11247264. Its totient is φ = 1223424.

The previous prime is 3977353. The next prime is 3977377. The reversal of 3977376 is 6737793.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3977377) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 346 + ... + 2841.

It is an arithmetic number, because the mean of its divisors is an integer number (234318).

Almost surely, 23977376 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 3977376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5623632).

3977376 is an abundant number, since it is smaller than the sum of its proper divisors (7269888).

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

3977376 is a wasteful number, since it uses less digits than its factorization.

3977376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3213 (or 3205 counting only the distinct ones).

The product of its digits is 166698, while the sum is 42.

The square root of 3977376 is about 1994.3359797186. The cubic root of 3977376 is about 158.4402611667.

The spelling of 3977376 in words is "three million, nine hundred seventy-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 3187 6374 9561 12748 19122 25496 38244 41431 50992 76488 82862 101984 124293 152976 165724 248586 305952 331448 497172 662896 994344 1325792 1988688 3977376