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4746009480 = 2335311319739
BaseRepresentation
bin1000110101110001…
…00101101110001000
3110020202110021001220
410122320211232020
534204434300410
62102535242040
7225416262222
oct43270455610
913222407056
104746009480
112015aa9193
12b05519320
135a834ca44
14330467412
151cb9d5070
hex11ae25b88

4746009480 has 128 divisors (see below), whose sum is σ = 14811033600. Its totient is φ = 1215302400.

The previous prime is 4746009479. The next prime is 4746009481. The reversal of 4746009480 is 849006474.

It is an interprime number because it is at equal distance from previous prime (4746009479) and next prime (4746009481).

It is not an unprimeable number, because it can be changed into a prime (4746009481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 482451 + ... + 492189.

It is an arithmetic number, because the mean of its divisors is an integer number (115711200).

Almost surely, 24746009480 is an apocalyptic number.

4746009480 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 4746009480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7405516800).

4746009480 is an abundant number, since it is smaller than the sum of its proper divisors (10065024120).

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

4746009480 is a wasteful number, since it uses less digits than its factorization.

4746009480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9915 (or 9911 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 4746009480 is about 68891.2874026898. The cubic root of 4746009480 is about 1680.5168336159.

The spelling of 4746009480 in words is "four billion, seven hundred forty-six million, nine thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 131 155 186 248 262 310 372 393 465 524 620 655 744 786 930 1048 1240 1310 1572 1860 1965 2620 3144 3720 3930 4061 5240 7860 8122 9739 12183 15720 16244 19478 20305 24366 29217 32488 38956 40610 48695 48732 58434 60915 77912 81220 97390 97464 116868 121830 146085 162440 194780 233736 243660 292170 301909 389560 487320 584340 603818 905727 1168680 1207636 1275809 1509545 1811454 2415272 2551618 3019090 3622908 3827427 4528635 5103236 6038180 6379045 7245816 7654854 9057270 10206472 12076360 12758090 15309708 18114540 19137135 25516180 30619416 36229080 38274270 39550079 51032360 76548540 79100158 118650237 153097080 158200316 197750395 237300474 316400632 395500790 474600948 593251185 791001580 949201896 1186502370 1582003160 2373004740 4746009480