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4138012928 = 2873174489
BaseRepresentation
bin1111011010100101…
…0001000100000000
3101200101101211121002
43312221101010000
531433312403203
61522335551132
7204354346430
oct36651210400
911611354532
104138012928
1118338893a5
1297598b4a8
1350c3b447a
142b37dc2c0
15193437d88
hexf6a51100

4138012928 has 72 divisors (see below), whose sum is σ = 9744483840. Its totient is φ = 1716203520.

The previous prime is 4138012913. The next prime is 4138012943. The reversal of 4138012928 is 8292108314.

It is an interprime number because it is at equal distance from previous prime (4138012913) and next prime (4138012943).

It is a junction number, because it is equal to n+sod(n) for n = 4138012891 and 4138012900.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18308 + ... + 92796.

Almost surely, 24138012928 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 4138012928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4872241920).

4138012928 is an abundant number, since it is smaller than the sum of its proper divisors (5606470912).

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

4138012928 is an equidigital number, since it uses as much as digits as its factorization.

4138012928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74543 (or 74529 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 4138012928 is about 64327.3886303494. The cubic root of 4138012928 is about 1605.4518356640.

The spelling of 4138012928 in words is "four billion, one hundred thirty-eight million, twelve thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 256 434 448 496 868 896 992 1736 1792 1984 3472 3968 6944 7936 13888 27776 55552 74489 148978 297956 521423 595912 1042846 1191824 2085692 2309159 2383648 4171384 4618318 4767296 8342768 9236636 9534592 16164113 16685536 18473272 19069184 32328226 33371072 36946544 64656452 66742144 73893088 129312904 133484288 147786176 258625808 295572352 517251616 591144704 1034503232 2069006464 4138012928