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4840523040 = 253525739239
BaseRepresentation
bin1001000001000010…
…01000010100100000
3110111100022001022010
410200201020110200
534403133214130
62120153112520
7230644524033
oct44041102440
913440261263
104840523040
112064392671
12b310b8740
135c1ac2222
1433cc2b01a
151d4e540b0
hex120848520

4840523040 has 96 divisors (see below), whose sum is σ = 15307367040. Its totient is φ = 1285750784.

The previous prime is 4840523027. The next prime is 4840523047. The reversal of 4840523040 is 403250484.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4840522989 and 4840523007.

It is not an unprimeable number, because it can be changed into a prime (4840523047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103741 + ... + 142979.

It is an arithmetic number, because the mean of its divisors is an integer number (159451740).

Almost surely, 24840523040 is an apocalyptic number.

4840523040 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 4840523040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7653683520).

4840523040 is an abundant number, since it is smaller than the sum of its proper divisors (10466844000).

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

4840523040 is a wasteful number, since it uses less digits than its factorization.

4840523040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39514 (or 39506 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 4840523040 is about 69573.8675078510. The cubic root of 4840523040 is about 1691.5990420793.

The spelling of 4840523040 in words is "four billion, eight hundred forty million, five hundred twenty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 257 480 514 771 1028 1285 1542 2056 2570 3084 3855 4112 5140 6168 7710 8224 10280 12336 15420 20560 24672 30840 39239 41120 61680 78478 117717 123360 156956 196195 235434 313912 392390 470868 588585 627824 784780 941736 1177170 1255648 1569560 1883472 2354340 3139120 3766944 4708680 6278240 9417360 10084423 18834720 20168846 30253269 40337692 50422115 60506538 80675384 100844230 121013076 151266345 161350768 201688460 242026152 302532690 322701536 403376920 484052304 605065380 806753840 968104608 1210130760 1613507680 2420261520 4840523040