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488567992 = 231125389107
BaseRepresentation
bin11101000111101…
…111010010111000
31021001022211021211
4131013233102320
52000033133432
6120251412504
715051521323
oct3507572270
91231284254
10488567992
11230869400
12117754134
137a2b17b3
1448c5b7ba
152cd5ad47
hex1d1ef4b8

488567992 has 96 divisors (see below), whose sum is σ = 1047135600. Its totient is φ = 213424640.

The previous prime is 488567983. The next prime is 488568061. The reversal of 488567992 is 299765884.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4566003 + ... + 4566109.

Almost surely, 2488567992 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 488567992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523567800).

488567992 is an abundant number, since it is smaller than the sum of its proper divisors (558567608).

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

488567992 is a wasteful number, since it uses less digits than its factorization.

488567992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 262 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 58.

The square root of 488567992 is about 22103.5741906145. The cubic root of 488567992 is about 787.6047688610.

The spelling of 488567992 in words is "four hundred eighty-eight million, five hundred sixty-seven thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 11 22 44 53 88 89 106 107 121 178 212 214 242 356 424 428 484 583 712 856 968 979 1166 1177 1958 2332 2354 3916 4664 4708 4717 5671 6413 7832 9416 9434 9523 10769 11342 12826 12947 18868 19046 21538 22684 25652 25894 37736 38092 43076 45368 51304 51788 51887 62381 76184 86152 103576 103774 104753 124762 207548 209506 249524 415096 419012 499048 504719 570757 686191 838024 1009438 1141514 1152283 1372382 2018876 2283028 2304566 2744764 4037752 4566056 4609132 5489528 5551909 9218264 11103818 22207636 44415272 61070999 122141998 244283996 488567992