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4882240640 = 27541434327
BaseRepresentation
bin1001000110000000…
…10001010010000000
3110121020210112002102
410203000101102000
534444323200030
62124243205532
7231662234504
oct44300212200
913536715072
104882240640
112085996722
12b430768a8
135ca63a7b4
143445aa304
151d8944c45
hex123011480

4882240640 has 128 divisors (see below), whose sum is σ = 12237160320. Its totient is φ = 1860526080.

The previous prime is 4882240637. The next prime is 4882240651. The reversal of 4882240640 is 460422884.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 4882240594 and 4882240603.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1126157 + ... + 1130483.

It is an arithmetic number, because the mean of its divisors is an integer number (95602815).

Almost surely, 24882240640 is an apocalyptic number.

4882240640 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 4882240640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6118580160).

4882240640 is an abundant number, since it is smaller than the sum of its proper divisors (7354919680).

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

4882240640 is a wasteful number, since it uses less digits than its factorization.

4882240640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4430 (or 4418 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 38.

The square root of 4882240640 is about 69873.0322799862. The cubic root of 4882240640 is about 1696.4447777335. Note that the first 3 decimals are identical.

The spelling of 4882240640 in words is "four billion, eight hundred eighty-two million, two hundred forty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 43 64 80 82 86 128 160 164 172 205 215 320 328 344 410 430 640 656 688 820 860 1312 1376 1640 1720 1763 2624 2752 3280 3440 3526 4327 5248 5504 6560 6880 7052 8654 8815 13120 13760 14104 17308 17630 21635 26240 27520 28208 34616 35260 43270 56416 69232 70520 86540 112832 138464 141040 173080 177407 186061 225664 276928 282080 346160 354814 372122 553856 564160 692320 709628 744244 887035 930305 1128320 1384640 1419256 1488488 1774070 1860610 2769280 2838512 2976976 3548140 3721220 5677024 5953952 7096280 7442440 7628501 11354048 11907904 14192560 14884880 15257002 22708096 23815808 28385120 29769760 30514004 38142505 56770240 59539520 61028008 76285010 113540480 119079040 122056016 152570020 244112032 305140040 488224064 610280080 976448128 1220560160 2441120320 4882240640