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755283920 = 2455323361
BaseRepresentation
bin101101000001001…
…011011111010000
31221122012101202112
4231001023133100
53021323041140
6202540204452
724500543636
oct5501133720
91848171675
10755283920
11358379a96
12190b39728
13c0627881
1472449356
1546492c65
hex2d04b7d0

755283920 has 60 divisors (see below), whose sum is σ = 1790325516. Its totient is φ = 296325120.

The previous prime is 755283911. The next prime is 755283941. The reversal of 755283920 is 29382557.

It can be written as a sum of positive squares in 6 ways, for example, as 61277584 + 694006336 = 7828^2 + 26344^2 .

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, 223040 + ... + 226400.

Almost surely, 2755283920 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 755283920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895162758).

755283920 is an abundant number, since it is smaller than the sum of its proper divisors (1035041596).

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

755283920 is a wasteful number, since it uses less digits than its factorization.

755283920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3480 (or 3421 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 41.

The square root of 755283920 is about 27482.4292958246. The cubic root of 755283920 is about 910.6889762806.

The spelling of 755283920 in words is "seven hundred fifty-five million, two hundred eighty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 530 848 1060 2120 2809 3361 4240 5618 6722 11236 13444 14045 16805 22472 26888 28090 33610 44944 53776 56180 67220 112360 134440 178133 224720 268880 356266 712532 890665 1425064 1781330 2850128 3562660 7125320 9441049 14250640 18882098 37764196 47205245 75528392 94410490 151056784 188820980 377641960 755283920