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755872480 = 25511239043
BaseRepresentation
bin101101000011011…
…011001011100000
31221200022022010001
4231003123023200
53022000404410
6203000545344
724505544566
oct5503331340
91850268101
10755872480
11358741200
12191182254
13c07a272c
147255da36
154655c33a
hex2d0db2e0

755872480 has 72 divisors (see below), whose sum is σ = 1962898056. Its totient is φ = 274855680.

The previous prime is 755872463. The next prime is 755872499. The reversal of 755872480 is 84278557.

It is a self number, because there is not a number n which added to its sum of digits gives 755872480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 162 + ... + 38881.

It is an arithmetic number, because the mean of its divisors is an integer number (27262473).

Almost surely, 2755872480 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 755872480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (981449028).

755872480 is an abundant number, since it is smaller than the sum of its proper divisors (1207025576).

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

755872480 is a wasteful number, since it uses less digits than its factorization.

755872480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39080 (or 39061 counting only the distinct ones).

The product of its (nonzero) digits is 627200, while the sum is 46.

The square root of 755872480 is about 27493.1351431589. The cubic root of 755872480 is about 910.9254683352.

The spelling of 755872480 in words is "seven hundred fifty-five million, eight hundred seventy-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 121 160 176 220 242 352 440 484 605 880 968 1210 1760 1936 2420 3872 4840 9680 19360 39043 78086 156172 195215 312344 390430 429473 624688 780860 858946 1249376 1561720 1717892 2147365 3123440 3435784 4294730 4724203 6246880 6871568 8589460 9448406 13743136 17178920 18896812 23621015 34357840 37793624 47242030 68715680 75587248 94484060 151174496 188968120 377936240 755872480