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4496493780 = 22325411314651
BaseRepresentation
bin1000011000000001…
…10000110011010100
3102121100221112212200
410030000300303110
533202100300110
62022103244500
7216266365212
oct41400606324
912540845780
104496493780
1119a8176369
12a55a49730
1356874990c
14309275cb2
151b4b496c0
hex10c030cd4

4496493780 has 144 divisors (see below), whose sum is σ = 14081715648. Its totient is φ = 1160640000.

The previous prime is 4496493779. The next prime is 4496493787. The reversal of 4496493780 is 873946944.

It is a happy number.

4496493780 is a `hidden beast` number, since 4 + 496 + 49 + 37 + 80 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4496493787) 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 47 ways as a sum of consecutive naturals, for example, 964455 + ... + 969105.

It is an arithmetic number, because the mean of its divisors is an integer number (97789692).

Almost surely, 24496493780 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 4496493780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7040857824).

4496493780 is an abundant number, since it is smaller than the sum of its proper divisors (9585221868).

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

4496493780 is a wasteful number, since it uses less digits than its factorization.

4496493780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4838 (or 4833 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The square root of 4496493780 is about 67055.9004115223. The cubic root of 4496493780 is about 1650.5347247617.

The spelling of 4496493780 in words is "four billion, four hundred ninety-six million, four hundred ninety-three thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 131 164 180 205 246 262 369 393 410 492 524 615 655 738 786 820 1179 1230 1310 1476 1572 1845 1965 2358 2460 2620 3690 3930 4651 4716 5371 5895 7380 7860 9302 10742 11790 13953 16113 18604 21484 23255 23580 26855 27906 32226 41859 46510 48339 53710 55812 64452 69765 80565 83718 93020 96678 107420 139530 161130 167436 190691 193356 209295 241695 279060 322260 381382 418590 483390 572073 609281 762764 837180 953455 966780 1144146 1218562 1716219 1827843 1906910 2288292 2437124 2860365 3046405 3432438 3655686 3813820 5483529 5720730 6092810 6864876 7311372 8581095 9139215 10967058 11441460 12185620 17162190 18278430 21934116 24980521 27417645 34324380 36556860 49961042 54835290 74941563 99922084 109670580 124902605 149883126 224824689 249805210 299766252 374707815 449649378 499610420 749415630 899298756 1124123445 1498831260 2248246890 4496493780