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8490234528 = 2532711014111
BaseRepresentation
bin1111110100000111…
…01011001010100000
3210220200212121020200
413322003223022200
5114342000001103
63522251105200
7420252542226
oct77203531240
923820777220
108490234528
113667574956
12178b442200
13a53c89319
145a783ab16
1534a5850a3
hex1fa0eb2a0

8490234528 has 144 divisors (see below), whose sum is σ = 24732594432. Its totient is φ = 2761920000.

The previous prime is 8490234521. The next prime is 8490234541. The reversal of 8490234528 is 8254320948.

8490234528 is a `hidden beast` number, since 8 + 4 + 90 + 2 + 34 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (8490234521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2063193 + ... + 2067303.

It is an arithmetic number, because the mean of its divisors is an integer number (171754128).

Almost surely, 28490234528 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 8490234528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12366297216).

8490234528 is an abundant number, since it is smaller than the sum of its proper divisors (16242359904).

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

8490234528 is a wasteful number, since it uses less digits than its factorization.

8490234528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4299 (or 4288 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 8490234528 is about 92142.4686450282. The cubic root of 8490234528 is about 2040.0456967849.

The spelling of 8490234528 in words is "eight billion, four hundred ninety million, two hundred thirty-four thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 71 72 96 101 142 144 202 213 284 288 303 404 426 568 606 639 808 852 909 1136 1212 1278 1616 1704 1818 2272 2424 2556 3232 3408 3636 4111 4848 5112 6816 7171 7272 8222 9696 10224 12333 14342 14544 16444 20448 21513 24666 28684 29088 32888 36999 43026 49332 57368 64539 65776 73998 86052 98664 114736 129078 131552 147996 172104 197328 229472 258156 291881 295992 344208 394656 415211 516312 583762 591984 688416 830422 875643 1032624 1167524 1183968 1245633 1660844 1751286 2065248 2335048 2491266 2626929 3321688 3502572 3736899 4670096 4982532 5253858 6643376 7005144 7473798 9340192 9965064 10507716 13286752 14010288 14947596 19930128 21015432 28020576 29479981 29895192 39860256 42030864 58959962 59790384 84061728 88439943 117919924 119580768 176879886 235839848 265319829 353759772 471679696 530639658 707519544 943359392 1061279316 1415039088 2122558632 2830078176 4245117264 8490234528