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3825978112 = 281117229349
BaseRepresentation
bin1110010000001011…
…1100101100000000
3100212122020211022001
43210002330230000
530313422244422
61431351553344
7163545164065
oct34402745400
910778224261
103825978112
111693734a90
128a938b854
1348c861898
142841b4c6c
15175d4d227
hexe40bcb00

3825978112 has 144 divisors (see below), whose sum is σ = 8885268000. Its totient is φ = 1624965120.

The previous prime is 3825978103. The next prime is 3825978113. The reversal of 3825978112 is 2118795283.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3825978113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10962514 + ... + 10962862.

It is an arithmetic number, because the mean of its divisors is an integer number (61703250).

Almost surely, 23825978112 is an apocalyptic number.

3825978112 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 3825978112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4442634000).

3825978112 is an abundant number, since it is smaller than the sum of its proper divisors (5059289888).

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

3825978112 is a wasteful number, since it uses less digits than its factorization.

3825978112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 608 counting only the distinct ones).

The product of its digits is 241920, while the sum is 46.

The square root of 3825978112 is about 61854.4914456501. The cubic root of 3825978112 is about 1564.0386958067.

The spelling of 3825978112 in words is "three billion, eight hundred twenty-five million, nine hundred seventy-eight thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 128 136 176 187 229 256 272 349 352 374 458 544 698 704 748 916 1088 1396 1408 1496 1832 2176 2519 2792 2816 2992 3664 3839 3893 4352 5038 5584 5933 5984 7328 7678 7786 10076 11168 11866 11968 14656 15356 15572 20152 22336 23732 23936 29312 30712 31144 40304 42823 44672 47464 47872 58624 61424 62288 65263 79921 80608 85646 89344 94928 122848 124576 130526 159842 161216 171292 189856 245696 249152 261052 319684 322432 342584 379712 491392 498304 522104 639368 644864 685168 759424 879131 982784 996608 1044208 1278736 1358657 1370336 1518848 1758262 2088416 2557472 2717314 2740672 3516524 4176832 5114944 5434628 5481344 7033048 8353664 10229888 10869256 10962688 14066096 14945227 16707328 20459776 21738512 28132192 29890454 43477024 56264384 59780908 86954048 112528768 119561816 173908096 225057536 239123632 347816192 478247264 956494528 1912989056 3825978112