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4840241728 = 267371072729
BaseRepresentation
bin1001000001000000…
…00011101001000000
3110111022202202102011
410200200003221000
534403100213403
62120143102304
7230642242630
oct44040035100
913438682364
104840241728
112064210283
12b30ba1994
135c1a2417a
1433cb966c0
151d4deaa6d
hex120803a40

4840241728 has 112 divisors (see below), whose sum is σ = 11383182720. Its totient is φ = 1998729216.

The previous prime is 4840241689. The next prime is 4840241767. The reversal of 4840241728 is 8271420484.

It is an interprime number because it is at equal distance from previous prime (4840241689) and next prime (4840241767).

It is a tau number, because it is divible by the number of its divisors (112).

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, 1772268 + ... + 1774996.

It is an arithmetic number, because the mean of its divisors is an integer number (101635560).

Almost surely, 24840241728 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 4840241728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5691591360).

4840241728 is an abundant number, since it is smaller than the sum of its proper divisors (6542940992).

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

4840241728 is a wasteful number, since it uses less digits than its factorization.

4840241728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2892 (or 2882 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 40.

The square root of 4840241728 is about 69571.8457998636. The cubic root of 4840241728 is about 1691.5662717688.

The spelling of 4840241728 in words is "four billion, eight hundred forty million, two hundred forty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 64 74 107 112 148 214 224 259 296 428 448 518 592 749 856 1036 1184 1498 1712 2072 2368 2729 2996 3424 3959 4144 5458 5992 6848 7918 8288 10916 11984 15836 16576 19103 21832 23968 27713 31672 38206 43664 47936 55426 63344 76412 87328 100973 110852 126688 152824 174656 201946 221704 253376 292003 305648 403892 443408 584006 611296 706811 807784 886816 1168012 1222592 1413622 1615568 1773632 2044021 2336024 2827244 3231136 4088042 4672048 5654488 6462272 8176084 9344096 10804111 11308976 16352168 18688192 21608222 22617952 32704336 43216444 45235904 65408672 75628777 86432888 130817344 151257554 172865776 302515108 345731552 605030216 691463104 1210060432 2420120864 4840241728