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8540452384 = 2517311074733
BaseRepresentation
bin1111111010000110…
…01111011000100000
3211001012100221012021
413331003033120200
5114442323434014
63531243311224
7421432435042
oct77503173040
924035327167
108540452384
113692954312
1217a421b514
13a614bc929
145b038da92
1534eba4624
hex1fd0cf620

8540452384 has 96 divisors (see below), whose sum is σ = 18553038336. Its totient is φ = 3852226560.

The previous prime is 8540452381. The next prime is 8540452387. The reversal of 8540452384 is 4832540458.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8540452381) and next prime (8540452387).

It is a self number, because there is not a number n which added to its sum of digits gives 8540452384.

It is not an unprimeable number, because it can be changed into a prime (8540452381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1802082 + ... + 1806814.

It is an arithmetic number, because the mean of its divisors is an integer number (193260816).

Almost surely, 28540452384 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 8540452384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9276519168).

8540452384 is an abundant number, since it is smaller than the sum of its proper divisors (10012585952).

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

8540452384 is a wasteful number, since it uses less digits than its factorization.

8540452384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4898 (or 4890 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 43.

The square root of 8540452384 is about 92414.5680290721. The cubic root of 8540452384 is about 2044.0599321431.

The spelling of 8540452384 in words is "eight billion, five hundred forty million, four hundred fifty-two thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 17 31 32 34 62 68 107 124 136 214 248 272 428 496 527 544 856 992 1054 1712 1819 2108 3317 3424 3638 4216 4733 6634 7276 8432 9466 13268 14552 16864 18932 26536 29104 37864 53072 56389 58208 75728 80461 106144 112778 146723 151456 160922 225556 293446 321844 451112 506431 586892 643688 902224 1012862 1173784 1287376 1804448 2025724 2347568 2494291 2574752 4051448 4695136 4988582 8102896 8609327 9977164 15699361 16205792 17218654 19954328 31398722 34437308 39908656 62797444 68874616 79817312 125594888 137749232 251189776 266889137 275498464 502379552 533778274 1067556548 2135113096 4270226192 8540452384