Search a number
-
+
8042440028 = 2273728327431
BaseRepresentation
bin1110111110101110…
…11110010101011100
3202202111021021200012
413133113132111130
5112432331040103
63410013222352
7403204420010
oct73727362534
922674237605
108042440028
113457825257
1216854919b8
139b228246c
14564194540
153210d02d8
hex1df5de55c

8042440028 has 48 divisors (see below), whose sum is σ = 16578584064. Its totient is φ = 3341632320.

The previous prime is 8042439997. The next prime is 8042440031. The reversal of 8042440028 is 8200442408.

It is a junction number, because it is equal to n+sod(n) for n = 8042439976 and 8042440003.

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, 279473 + ... + 306903.

It is an arithmetic number, because the mean of its divisors is an integer number (345387168).

Almost surely, 28042440028 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 8042440028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8289292032).

8042440028 is an abundant number, since it is smaller than the sum of its proper divisors (8536144036).

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

8042440028 is a wasteful number, since it uses less digits than its factorization.

8042440028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27762 (or 27760 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

The square root of 8042440028 is about 89679.6522517789. The cubic root of 8042440028 is about 2003.5304333532.

The spelling of 8042440028 in words is "eight billion, forty-two million, four hundred forty thousand, twenty-eight".

Divisors: 1 2 4 7 14 28 37 74 148 259 283 518 566 1036 1132 1981 3962 7924 10471 20942 27431 41884 54862 73297 109724 146594 192017 293188 384034 768068 1014947 2029894 4059788 7104629 7762973 14209258 15525946 28418516 31051892 54340811 108681622 217363244 287230001 574460002 1148920004 2010610007 4021220014 8042440028