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4845459440 = 2451314011153
BaseRepresentation
bin1001000001100111…
…11101011111110000
3110111200120211202202
410200303331133300
534410414200230
62120451002332
7231034503623
oct44063753760
913450524682
104845459440
112067154438
12b328993a8
135c2b30083
1433d753dba
151d55cba45
hex120cfd7f0

4845459440 has 80 divisors (see below), whose sum is σ = 11389869216. Its totient is φ = 1916928000.

The previous prime is 4845459419. The next prime is 4845459469. The reversal of 4845459440 is 449545484.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×48454594402 = 46956954369370227200, which contains 22 as substring.

It is a congruent number.

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, 4201904 + ... + 4203056.

Almost surely, 24845459440 is an apocalyptic number.

4845459440 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 4845459440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5694934608).

4845459440 is an abundant number, since it is smaller than the sum of its proper divisors (6544409776).

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

4845459440 is a wasteful number, since it uses less digits than its factorization.

4845459440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1698 (or 1692 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 47.

The square root of 4845459440 is about 69609.3344315258. The cubic root of 4845459440 is about 1692.1738816470.

The spelling of 4845459440 in words is "four billion, eight hundred forty-five million, four hundred fifty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 131 262 401 524 655 802 1048 1153 1310 1604 2005 2096 2306 2620 3208 4010 4612 5240 5765 6416 8020 9224 10480 11530 16040 18448 23060 32080 46120 52531 92240 105062 151043 210124 262655 302086 420248 462353 525310 604172 755215 840496 924706 1050620 1208344 1510430 1849412 2101240 2311765 2416688 3020860 3698824 4202480 4623530 6041720 7397648 9247060 12083440 18494120 36988240 60568243 121136486 242272972 302841215 484545944 605682430 969091888 1211364860 2422729720 4845459440