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488989536 = 25373123473
BaseRepresentation
bin11101001001010…
…110001101100000
31021002010020112120
4131021112031200
52000140131121
6120304424240
715055225320
oct3511261540
91232106476
10488989536
11231027092
12117918080
137a3cb629
1448d2b280
152cde0bc6
hex1d256360

488989536 has 96 divisors (see below), whose sum is σ = 1514354688. Its totient is φ = 135198720.

The previous prime is 488989511. The next prime is 488989537. The reversal of 488989536 is 635989884.

It is a happy number.

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

It is a super-2 number, since 2×4889895362 = 478221532634990592, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 488989536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488989537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9096 + ... + 32568.

It is an arithmetic number, because the mean of its divisors is an integer number (15774528).

Almost surely, 2488989536 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 488989536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757177344).

488989536 is an abundant number, since it is smaller than the sum of its proper divisors (1025365152).

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

488989536 is a wasteful number, since it uses less digits than its factorization.

488989536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23524 (or 23516 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 60.

The square root of 488989536 is about 22113.1077870118. The cubic root of 488989536 is about 787.8312229254.

The spelling of 488989536 in words is "four hundred eighty-eight million, nine hundred eighty-nine thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 84 93 96 112 124 168 186 217 224 248 336 372 434 496 651 672 744 868 992 1302 1488 1736 2604 2976 3472 5208 6944 10416 20832 23473 46946 70419 93892 140838 164311 187784 281676 328622 375568 492933 563352 657244 727663 751136 985866 1126704 1314488 1455326 1971732 2182989 2253408 2628976 2910652 3943464 4365978 5093641 5257952 5821304 7886928 8731956 10187282 11642608 15280923 15773856 17463912 20374564 23285216 30561846 34927824 40749128 61123692 69855648 81498256 122247384 162996512 244494768 488989536