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4986008832 = 28372234159
BaseRepresentation
bin1001010010011000…
…00111010100000000
3110212111001111021210
410221030013110000
540202404240312
62142431250120
7234362242620
oct45114072400
913774044253
104986008832
112129521262
12b71979940
13615ca04ac
1435429c880
151e2ae0e3c
hex129307500

4986008832 has 144 divisors (see below), whose sum is σ = 15237447680. Its totient is φ = 1417844736.

The previous prime is 4986008809. The next prime is 4986008849. The reversal of 4986008832 is 2388006894.

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 an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1196769 + ... + 1200927.

Almost surely, 24986008832 is an apocalyptic number.

4986008832 is a gapful number since it is divisible by the number (42) 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 4986008832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7618723840).

4986008832 is an abundant number, since it is smaller than the sum of its proper divisors (10251438848).

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

4986008832 is a wasteful number, since it uses less digits than its factorization.

4986008832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4408 (or 4394 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The square root of 4986008832 is about 70611.6763148985. The cubic root of 4986008832 is about 1708.3794859430.

The spelling of 4986008832 in words is "four billion, nine hundred eighty-six million, eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 223 224 256 336 384 446 448 669 672 768 892 896 1338 1344 1561 1784 1792 2676 2688 3122 3568 4159 4683 5352 5376 6244 7136 8318 9366 10704 12477 12488 14272 16636 18732 21408 24954 24976 28544 29113 33272 37464 42816 49908 49952 57088 58226 66544 74928 85632 87339 99816 99904 116452 133088 149856 171264 174678 199632 199808 232904 266176 299712 349356 399264 399616 465808 532352 599424 698712 798528 927457 931616 1064704 1198848 1397424 1597056 1854914 1863232 2782371 2794848 3194112 3709828 3726464 5564742 5589696 6492199 7419656 7452928 11129484 11179392 12984398 14839312 19476597 22258968 22358784 25968796 29678624 38953194 44517936 51937592 59357248 77906388 89035872 103875184 118714496 155812776 178071744 207750368 237428992 311625552 356143488 415500736 623251104 712286976 831001472 1246502208 1662002944 2493004416 4986008832