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488852748 = 2232172192473
BaseRepresentation
bin11101001000110…
…100110100001100
31021001212021220100
4131020310310030
52000121241443
6120301451100
715054115446
oct3510646414
91231767810
10488852748
11230a4333a
12117870a90
137a3812a7
1448cd3496
152cdb53d3
hex1d234d0c

488852748 has 108 divisors (see below), whose sum is σ = 1382322760. Its totient is φ = 145234944.

The previous prime is 488852723. The next prime is 488852753. The reversal of 488852748 is 847258884.

It is a junction number, because it is equal to n+sod(n) for n = 488852694 and 488852703.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 196440 + ... + 198912.

Almost surely, 2488852748 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 488852748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691161380).

488852748 is an abundant number, since it is smaller than the sum of its proper divisors (893470012).

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

488852748 is a wasteful number, since it uses less digits than its factorization.

488852748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2536 (or 2514 counting only the distinct ones).

The product of its digits is 4587520, while the sum is 54.

The square root of 488852748 is about 22110.0146539979. The cubic root of 488852748 is about 787.7577544770.

The spelling of 488852748 in words is "four hundred eighty-eight million, eight hundred fifty-two thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 19 34 36 38 51 57 68 76 102 114 153 171 204 228 289 306 323 342 578 612 646 684 867 969 1156 1292 1734 1938 2473 2601 2907 3468 3876 4946 5202 5491 5814 7419 9892 10404 10982 11628 14838 16473 21964 22257 29676 32946 42041 44514 46987 49419 65892 84082 89028 93974 98838 126123 140961 168164 187948 197676 252246 281922 378369 422883 504492 563844 714697 756738 798779 845766 1429394 1513476 1597558 1691532 2144091 2396337 2858788 3195116 4288182 4792674 6432273 7189011 8576364 9585348 12864546 13579243 14378022 25729092 27158486 28756044 40737729 54316972 81475458 122213187 162950916 244426374 488852748