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4048111936 = 261131251739
BaseRepresentation
bin1111000101001001…
…0100100101000000
3101110010020101121201
43301102110211000
531242304040221
61505405030544
7202213245421
oct36122244500
911403211551
104048111936
111798065460
1294b855454
134c689860b
142a58b9648
1518a5ca891
hexf1494940

4048111936 has 112 divisors (see below), whose sum is σ = 9094256640. Its totient is φ = 1771200000.

The previous prime is 4048111933. The next prime is 4048111957. The reversal of 4048111936 is 6391118404.

It is a junction number, because it is equal to n+sod(n) for n = 4048111895 and 4048111904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4048111933) 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, 5477455 + ... + 5478193.

It is an arithmetic number, because the mean of its divisors is an integer number (81198720).

Almost surely, 24048111936 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 4048111936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4547128320).

4048111936 is an abundant number, since it is smaller than the sum of its proper divisors (5046144704).

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

4048111936 is a wasteful number, since it uses less digits than its factorization.

4048111936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 4048111936 is about 63624.7745457695. The cubic root of 4048111936 is about 1593.7401155947.

The spelling of 4048111936 in words is "four billion, forty-eight million, one hundred eleven thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 124 176 248 251 341 352 496 502 682 704 739 992 1004 1364 1478 1984 2008 2728 2761 2956 4016 5456 5522 5912 7781 8032 8129 10912 11044 11824 15562 16064 16258 21824 22088 22909 23648 31124 32516 44176 45818 47296 62248 65032 85591 88352 91636 124496 130064 171182 176704 183272 185489 248992 251999 260128 342364 366544 370978 497984 503998 520256 684728 733088 741956 1007996 1369456 1466176 1483912 2015992 2040379 2738912 2967824 4031984 4080758 5477824 5750159 5935648 8063968 8161516 11500318 11871296 16127936 16323032 23000636 32646064 46001272 63251749 65292128 92002544 126503498 130584256 184005088 253006996 368010176 506013992 1012027984 2024055968 4048111936