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4795038640 = 245729503587
BaseRepresentation
bin1000111011100111…
…00111101110110000
3110101011201012102201
410131303213232300
534310012214030
62111450152544
7226553104330
oct43563475660
913334635381
104795038640
112040746557
12b19a22754
135b5558292
14336b8b0c0
151d0e6c2ca
hex11dce7bb0

4795038640 has 160 divisors (see below), whose sum is σ = 13229153280. Its totient is φ = 1581468672.

The previous prime is 4795038629. The next prime is 4795038667. The reversal of 4795038640 is 468305974.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8168427 + ... + 8169013.

It is an arithmetic number, because the mean of its divisors is an integer number (82682208).

Almost surely, 24795038640 is an apocalyptic number.

4795038640 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 4795038640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6614576640).

4795038640 is an abundant number, since it is smaller than the sum of its proper divisors (8434114640).

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

4795038640 is a wasteful number, since it uses less digits than its factorization.

4795038640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 46.

The square root of 4795038640 is about 69246.2175140274. The cubic root of 4795038640 is about 1686.2839395389.

The spelling of 4795038640 in words is "four billion, seven hundred ninety-five million, thirty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 35 40 56 58 70 80 112 116 140 145 203 232 280 290 406 464 503 560 580 587 812 1006 1015 1160 1174 1624 2012 2030 2320 2348 2515 2935 3248 3521 4024 4060 4109 4696 5030 5870 7042 8048 8120 8218 9392 10060 11740 14084 14587 16240 16436 17023 17605 20120 20545 23480 28168 29174 32872 34046 35210 40240 41090 46960 56336 58348 65744 68092 70420 72935 82180 85115 102109 116696 119161 136184 140840 145870 164360 170230 204218 233392 238322 272368 281680 291740 295261 328720 340460 408436 476644 510545 583480 590522 595805 680920 816872 953288 1021090 1166960 1181044 1191610 1361840 1476305 1633744 1906576 2042180 2066827 2362088 2383220 2952610 4084360 4133654 4724176 4766440 5905220 8168720 8267308 8562569 9532880 10334135 11810440 16534616 17125138 20668270 23620880 33069232 34250276 41336540 42812845 59937983 68500552 82673080 85625690 119875966 137001104 165346160 171251380 239751932 299689915 342502760 479503864 599379830 685005520 959007728 1198759660 2397519320 4795038640