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4742489820 = 2235535692621
BaseRepresentation
bin1000110101010110…
…01010011011011100
3110020111211110000010
410122223022123130
534203034133240
62102332003220
7225344332635
oct43253123334
913214743003
104742489820
112014014882
12b04300510
135a76b99c3
1432dbcc88c
151cb53c280
hex11aaca6dc

4742489820 has 96 divisors (see below), whose sum is σ = 13558466880. Its totient is φ = 1238149120.

The previous prime is 4742489789. The next prime is 4742489827. The reversal of 4742489820 is 289842474.

It is a self number, because there is not a number n which added to its sum of digits gives 4742489820.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4742489827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1808110 + ... + 1810730.

It is an arithmetic number, because the mean of its divisors is an integer number (141234030).

Almost surely, 24742489820 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 4742489820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6779233440).

4742489820 is an abundant number, since it is smaller than the sum of its proper divisors (8815977060).

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

4742489820 is a wasteful number, since it uses less digits than its factorization.

4742489820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3255 (or 3253 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The square root of 4742489820 is about 68865.7376349081. The cubic root of 4742489820 is about 1680.1013048322.

The spelling of 4742489820 in words is "four billion, seven hundred forty-two million, four hundred eighty-nine thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 265 318 530 569 636 795 1060 1138 1590 1707 2276 2621 2845 3180 3414 5242 5690 6828 7863 8535 10484 11380 13105 15726 17070 26210 30157 31452 34140 39315 52420 60314 78630 90471 120628 138913 150785 157260 180942 277826 301570 361884 416739 452355 555652 603140 694565 833478 904710 1389130 1491349 1666956 1809420 2083695 2778260 2982698 4167390 4474047 5965396 7456745 8334780 8948094 14913490 17896188 22370235 29826980 44740470 79041497 89480940 158082994 237124491 316165988 395207485 474248982 790414970 948497964 1185622455 1580829940 2371244910 4742489820