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489111984 = 243219533373
BaseRepresentation
bin11101001001110…
…100000110110000
31021002100110111200
4131021310012300
52000203040414
6120311211200
715056245314
oct3511640660
91232313450
10489111984
11231100089
12117976b00
137a44229a
1448d5db44
152ce17109
hex1d2741b0

489111984 has 120 divisors (see below), whose sum is σ = 1468499760. Its totient is φ = 151497216.

The previous prime is 489111979. The next prime is 489112021.

489111984 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

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 23 ways as a sum of consecutive naturals, for example, 143322 + ... + 146694.

It is an arithmetic number, because the mean of its divisors is an integer number (12237498).

Almost surely, 2489111984 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 489111984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734249880).

489111984 is an abundant number, since it is smaller than the sum of its proper divisors (979387776).

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

489111984 is a wasteful number, since it uses less digits than its factorization.

489111984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3459 (or 3450 counting only the distinct ones).

The product of its digits is 82944, while the sum is 45.

The square root of 489111984 is about 22115.8762883138. The cubic root of 489111984 is about 787.8969777793.

The spelling of 489111984 in words is "four hundred eighty-nine million, one hundred eleven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 53 57 72 76 106 114 144 152 159 171 212 228 304 318 342 424 456 477 636 684 848 912 954 1007 1272 1368 1908 2014 2544 2736 3021 3373 3816 4028 6042 6746 7632 8056 9063 10119 12084 13492 16112 18126 20238 24168 26984 30357 36252 40476 48336 53968 60714 64087 72504 80952 121428 128174 145008 161904 178769 192261 242856 256348 357538 384522 485712 512696 536307 576783 715076 769044 1025392 1072614 1153566 1430152 1538088 1608921 2145228 2307132 2860304 3076176 3217842 3396611 4290456 4614264 6435684 6793222 8580912 9228528 10189833 12871368 13586444 20379666 25742736 27172888 30569499 40759332 54345776 61138998 81518664 122277996 163037328 244555992 489111984