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488997960 = 233511616073
BaseRepresentation
bin11101001001011…
…000010001001000
31021002010200002120
4131021120101020
52000140413320
6120304531240
715055262013
oct3511302110
91232120076
10488997960
11231032450
12117920b20
137a402409
1448d3037a
152cde3440
hex1d258448

488997960 has 128 divisors (see below), whose sum is σ = 1626860160. Its totient is φ = 116582400.

The previous prime is 488997953. The next prime is 488997961. The reversal of 488997960 is 69799884.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 488997894 and 488997903.

It is not an unprimeable number, because it can be changed into a prime (488997961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77484 + ... + 83556.

It is an arithmetic number, because the mean of its divisors is an integer number (12709845).

Almost surely, 2488997960 is an apocalyptic number.

488997960 is a gapful number since it is divisible by the number (40) 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 488997960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813430080).

488997960 is an abundant number, since it is smaller than the sum of its proper divisors (1137862200).

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

488997960 is a wasteful number, since it uses less digits than its factorization.

488997960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6159 (or 6155 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 60.

The square root of 488997960 is about 22113.2982614534. The cubic root of 488997960 is about 787.8357469841.

The spelling of 488997960 in words is "four hundred eighty-eight million, nine hundred ninety-seven thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 61 66 88 110 120 122 132 165 183 220 244 264 305 330 366 440 488 610 660 671 732 915 1220 1320 1342 1464 1830 2013 2440 2684 3355 3660 4026 5368 6073 6710 7320 8052 10065 12146 13420 16104 18219 20130 24292 26840 30365 36438 40260 48584 60730 66803 72876 80520 91095 121460 133606 145752 182190 200409 242920 267212 334015 364380 370453 400818 534424 668030 728760 740906 801636 1002045 1111359 1336060 1481812 1603272 1852265 2004090 2222718 2672120 2963624 3704530 4008180 4074983 4445436 5556795 7409060 8016360 8149966 8890872 11113590 12224949 14818120 16299932 20374915 22227180 24449898 32599864 40749830 44454360 48899796 61124745 81499660 97799592 122249490 162999320 244498980 488997960