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2390536288 = 25797269409
BaseRepresentation
bin1000111001111100…
…1011000001100000
320011121012211022001
42032133023001200
514343434130123
61033113253344
7113145136360
oct21637130140
96147184261
102390536288
111017439328
12568704254
132c135421a
141896b89a0
15ded070ad
hex8e7cb060

2390536288 has 96 divisors (see below), whose sum is σ = 5467694400. Its totient is φ = 1007714304.

The previous prime is 2390536279. The next prime is 2390536289. The reversal of 2390536288 is 8826350932.

It is a super-3 number, since 3×23905362883 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2390536289) 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, 5844628 + ... + 5845036.

It is an arithmetic number, because the mean of its divisors is an integer number (56955150).

Almost surely, 22390536288 is an apocalyptic number.

2390536288 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2390536288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2733847200).

2390536288 is an abundant number, since it is smaller than the sum of its proper divisors (3077158112).

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

2390536288 is a wasteful number, since it uses less digits than its factorization.

2390536288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 46.

The square root of 2390536288 is about 48893.1108439625. The cubic root of 2390536288 is about 1337.1037706903.

The spelling of 2390536288 in words is "two billion, three hundred ninety million, five hundred thirty-six thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 97 112 194 224 269 388 409 538 679 776 818 1076 1358 1552 1636 1883 2152 2716 2863 3104 3272 3766 4304 5432 5726 6544 7532 8608 10864 11452 13088 15064 21728 22904 26093 30128 39673 45808 52186 60256 79346 91616 104372 110021 158692 182651 208744 220042 277711 317384 365302 417488 440084 555422 634768 730604 770147 834976 880168 1110844 1269536 1461208 1540294 1760336 2221688 2922416 3080588 3520672 4443376 5844832 6161176 8886752 10672037 12322352 21344074 24644704 42688148 74704259 85376296 149408518 170752592 298817036 341505184 597634072 1195268144 2390536288