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3883008 = 214379
BaseRepresentation
bin1110110100000000000000
321022021111010
432310000000
51443224013
6215120520
745001503
oct16640000
97267433
103883008
1122123a8
121373140
13a5c54c
1473113a
1551a7c3
hex3b4000

3883008 has 60 divisors (see below), whose sum is σ = 10485440. Its totient is φ = 1277952.

The previous prime is 3883001. The next prime is 3883027. The reversal of 3883008 is 8003883.

It is a super-2 number, since 2×38830082 = 30155502256128, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3883001) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 49113 + ... + 49191.

Almost surely, 23883008 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 3883008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5242720).

3883008 is an abundant number, since it is smaller than the sum of its proper divisors (6602432).

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

3883008 is an frugal number, since it uses more digits than its factorization.

3883008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 3883008 is about 1970.5349527476. The cubic root of 3883008 is about 157.1771567789.

The spelling of 3883008 in words is "three million, eight hundred eighty-three thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 128 158 192 237 256 316 384 474 512 632 768 948 1024 1264 1536 1896 2048 2528 3072 3792 4096 5056 6144 7584 8192 10112 12288 15168 16384 20224 24576 30336 40448 49152 60672 80896 121344 161792 242688 323584 485376 647168 970752 1294336 1941504 3883008