Search a number
-
+
4138489056 = 2531312726111
BaseRepresentation
bin1111011010101100…
…0101010011100000
3101200102022000201110
43312223011103200
531433423122211
61522354103320
7204361401522
oct36653052340
911612260643
104138489056
111834084099
12975b7ab40
1350c5200c0
142b38c3a12
151934cdea6
hexf6ac54e0

4138489056 has 96 divisors (see below), whose sum is σ = 11791761408. Its totient is φ = 1263306240.

The previous prime is 4138489007. The next prime is 4138489067. The reversal of 4138489056 is 6509848314.

4138489056 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×41384890562 = 34254183333263542272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 4138488996 and 4138489014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145441 + ... + 171551.

It is an arithmetic number, because the mean of its divisors is an integer number (122830848).

Almost surely, 24138489056 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 4138489056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5895880704).

4138489056 is an abundant number, since it is smaller than the sum of its proper divisors (7653272352).

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

4138489056 is a wasteful number, since it uses less digits than its factorization.

4138489056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26264 (or 26256 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The square root of 4138489056 is about 64331.0893425566. The cubic root of 4138489056 is about 1605.5134087966.

The spelling of 4138489056 in words is "four billion, one hundred thirty-eight million, four hundred eighty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 127 156 208 254 312 381 416 508 624 762 1016 1248 1524 1651 2032 3048 3302 4064 4953 6096 6604 9906 12192 13208 19812 26111 26416 39624 52222 52832 78333 79248 104444 156666 158496 208888 313332 339443 417776 626664 678886 835552 1018329 1253328 1357772 2036658 2506656 2715544 3316097 4073316 5431088 6632194 8146632 9948291 10862176 13264388 16293264 19896582 26528776 32586528 39793164 43109261 53057552 79586328 86218522 106115104 129327783 159172656 172437044 258655566 318345312 344874088 517311132 689748176 1034622264 1379496352 2069244528 4138489056