Search a number
-
+
5422313088 = 273213273547
BaseRepresentation
bin1010000110011000…
…11110111010000000
3111222220001001012200
411003030132322000
542101103004323
62254014553200
7251240620653
oct50314367200
914886031180
105422313088
112332833095
121073b08800
136854b33aa
143961d389a
1521b076443
hex14331ee80

5422313088 has 96 divisors (see below), whose sum is σ = 15619431360. Its totient is φ = 1805566464.

The previous prime is 5422313063. The next prime is 5422313123. The reversal of 5422313088 is 8803132245.

5422313088 is a `hidden beast` number, since 542 + 2 + 3 + 1 + 30 + 88 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1526931 + ... + 1530477.

It is an arithmetic number, because the mean of its divisors is an integer number (162702410).

Almost surely, 25422313088 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 5422313088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7809715680).

5422313088 is an abundant number, since it is smaller than the sum of its proper divisors (10197118272).

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

5422313088 is a wasteful number, since it uses less digits than its factorization.

5422313088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4894 (or 4879 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 5422313088 is about 73636.3571070704. The cubic root of 5422313088 is about 1756.8237617099.

The spelling of 5422313088 in words is "five billion, four hundred twenty-two million, three hundred thirteen thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 1327 2654 3547 3981 5308 7094 7962 10616 10641 11943 14188 15924 21232 21282 23886 28376 31848 31923 42464 42564 47772 56752 63696 63846 84928 85128 95544 113504 127392 127692 169856 170256 191088 227008 254784 255384 340512 382176 454016 509568 510768 681024 764352 1021536 1362048 1528704 2043072 4086144 4706869 9413738 14120607 18827476 28241214 37654952 42361821 56482428 75309904 84723642 112964856 150619808 169447284 225929712 301239616 338894568 451859424 602479232 677789136 903718848 1355578272 1807437696 2711156544 5422313088