[go: up one dir, main page]

Search a number
-
+
3866976 = 253229463
BaseRepresentation
bin1110110000000101100000
321021110111100
432300011200
51442220401
6214514400
744603661
oct16600540
97243440
103866976
112201353
121365a00
13a55169
14729368
15515b86
hex3b0160

3866976 has 72 divisors (see below), whose sum is σ = 11400480. Its totient is φ = 1241856.

The previous prime is 3866969. The next prime is 3866977. The reversal of 3866976 is 6796683.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3866977) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8121 + ... + 8583.

It is an arithmetic number, because the mean of its divisors is an integer number (158340).

Almost surely, 23866976 is an apocalyptic number.

3866976 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3866976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5700240).

3866976 is an abundant number, since it is smaller than the sum of its proper divisors (7533504).

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

3866976 is a wasteful number, since it uses less digits than its factorization.

3866976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 497 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 3866976 is about 1966.4628142937. The cubic root of 3866976 is about 156.9605429129.

The spelling of 3866976 in words is "three million, eight hundred sixty-six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 348 463 464 522 696 926 928 1044 1389 1392 1852 2088 2778 2784 3704 4167 4176 5556 7408 8334 8352 11112 13427 14816 16668 22224 26854 33336 40281 44448 53708 66672 80562 107416 120843 133344 161124 214832 241686 322248 429664 483372 644496 966744 1288992 1933488 3866976