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488621568 = 2932313831
BaseRepresentation
bin11101000111111…
…100011000000000
31021001102112210010
4131013330120000
52000041342233
6120252504520
715052133451
oct3507743000
91231375703
10488621568
112308a5686
1211777b140
137a2cccb6
1448c73128
152cd6bb63
hex1d1fc600

488621568 has 80 divisors (see below), whose sum is σ = 1358413056. Its totient is φ = 155781120.

The previous prime is 488621561. The next prime is 488621579. The reversal of 488621568 is 865126884.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488621561) 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 7 ways as a sum of consecutive naturals, for example, 28413 + ... + 42243.

Almost surely, 2488621568 is an apocalyptic number.

488621568 is a gapful number since it is divisible by the number (48) 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 488621568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679206528).

488621568 is an abundant number, since it is smaller than the sum of its proper divisors (869791488).

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

488621568 is a wasteful number, since it uses less digits than its factorization.

488621568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13875 (or 13859 counting only the distinct ones).

The product of its digits is 737280, while the sum is 48.

The square root of 488621568 is about 22104.7860880851. The cubic root of 488621568 is about 787.6335571917.

The spelling of 488621568 in words is "four hundred eighty-eight million, six hundred twenty-one thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 512 552 736 768 1104 1472 1536 2208 2944 4416 5888 8832 11776 13831 17664 27662 35328 41493 55324 82986 110648 165972 221296 318113 331944 442592 636226 663888 885184 954339 1272452 1327776 1770368 1908678 2544904 2655552 3540736 3817356 5089808 5311104 7081472 7634712 10179616 10622208 15269424 20359232 21244416 30538848 40718464 61077696 81436928 122155392 162873856 244310784 488621568