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4491432640 = 265172335897
BaseRepresentation
bin1000010111011010…
…11101001011000000
3102121000102102022001
410023231131023000
533144301321030
62021402553344
7216205355542
oct41355351300
912530372261
104491432640
1119a5329902
12a54208854
13567697066
14308719692
151b4499cca
hex10bb5d2c0

4491432640 has 112 divisors (see below), whose sum is σ = 11817047232. Its totient is φ = 1617330176.

The previous prime is 4491432619. The next prime is 4491432653. The reversal of 4491432640 is 462341944.

It is a self number, because there is not a number n which added to its sum of digits gives 4491432640.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107172 + ... + 143068.

Almost surely, 24491432640 is an apocalyptic number.

4491432640 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 4491432640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5908523616).

4491432640 is an abundant number, since it is smaller than the sum of its proper divisors (7325614592).

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

4491432640 is a wasteful number, since it uses less digits than its factorization.

4491432640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35954 (or 35944 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 37.

The square root of 4491432640 is about 67018.1515710483. The cubic root of 4491432640 is about 1649.9152255190.

The spelling of 4491432640 in words is "four billion, four hundred ninety-one million, four hundred thirty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 23 32 34 40 46 64 68 80 85 92 115 136 160 170 184 230 272 320 340 368 391 460 544 680 736 782 920 1088 1360 1472 1564 1840 1955 2720 3128 3680 3910 5440 6256 7360 7820 12512 15640 25024 31280 35897 62560 71794 125120 143588 179485 287176 358970 574352 610249 717940 825631 1148704 1220498 1435880 1651262 2297408 2440996 2871760 3051245 3302524 4128155 4881992 5743520 6102490 6605048 8256310 9763984 11487040 12204980 13210096 14035727 16512620 19527968 24409960 26420192 28071454 33025240 39055936 48819920 52840384 56142908 66050480 70178635 97639840 112285816 132100960 140357270 195279680 224571632 264201920 280714540 449143264 561429080 898286528 1122858160 2245716320 4491432640