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3919872 = 21231129
BaseRepresentation
bin1110111101000000000000
321101011001110
432331000000
52000413442
6220003320
745214125
oct16750000
97334043
103919872
112238070
121390540
13a73268
1474074c
1552669c
hex3bd000

3919872 has 104 divisors (see below), whose sum is σ = 11795040. Its totient is φ = 1146880.

The previous prime is 3919859. The next prime is 3919873. The reversal of 3919872 is 2789193.

It is a self number, because there is not a number n which added to its sum of digits gives 3919872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3919873) 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, 135154 + ... + 135182.

Almost surely, 23919872 is an apocalyptic number.

3919872 is a gapful number since it is divisible by the number (32) 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 3919872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5897520).

3919872 is an abundant number, since it is smaller than the sum of its proper divisors (7875168).

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

3919872 is a wasteful number, since it uses less digits than its factorization.

3919872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 45 counting only the distinct ones).

The product of its digits is 27216, while the sum is 39.

The square root of 3919872 is about 1979.8666621770. The cubic root of 3919872 is about 157.6729870562.

The spelling of 3919872 in words is "three million, nine hundred nineteen thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 32 33 44 48 58 64 66 87 88 96 116 128 132 174 176 192 232 256 264 319 348 352 384 464 512 528 638 696 704 768 928 957 1024 1056 1276 1392 1408 1536 1856 1914 2048 2112 2552 2784 2816 3072 3712 3828 4096 4224 5104 5568 5632 6144 7424 7656 8448 10208 11136 11264 12288 14848 15312 16896 20416 22272 22528 29696 30624 33792 40832 44544 45056 59392 61248 67584 81664 89088 118784 122496 135168 163328 178176 244992 326656 356352 489984 653312 979968 1306624 1959936 3919872