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4565089920 = 27358092939
BaseRepresentation
bin1000100000001100…
…11011111010000000
3102210011000121002110
410100012123322000
533322130334140
62032553415320
7221061424026
oct42006337200
912704017073
104565089920
111a32968696
12a74a0a540
13579a16451
14314410716
151bab99380
hex11019be80

4565089920 has 128 divisors (see below), whose sum is σ = 14574168000. Its totient is φ = 1215438848.

The previous prime is 4565089909. The next prime is 4565089927. The reversal of 4565089920 is 299805654.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4565089920.

It is not an unprimeable number, because it can be changed into a prime (4565089927) 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, 1551811 + ... + 1554749.

Almost surely, 24565089920 is an apocalyptic number.

4565089920 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 4565089920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7287084000).

4565089920 is an abundant number, since it is smaller than the sum of its proper divisors (10009078080).

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

4565089920 is a wasteful number, since it uses less digits than its factorization.

4565089920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3770 (or 3758 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 48.

The square root of 4565089920 is about 67565.4491585751. The cubic root of 4565089920 is about 1658.8856313365.

The spelling of 4565089920 in words is "four billion, five hundred sixty-five million, eighty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 809 960 1618 1920 2427 2939 3236 4045 4854 5878 6472 8090 8817 9708 11756 12135 12944 14695 16180 17634 19416 23512 24270 25888 29390 32360 35268 38832 44085 47024 48540 51776 58780 64720 70536 77664 88170 94048 97080 103552 117560 129440 141072 155328 176340 188096 194160 235120 258880 282144 310656 352680 376192 388320 470240 517760 564288 705360 776640 940480 1128576 1410720 1553280 1880960 2377651 2821440 4755302 5642880 7132953 9510604 11888255 14265906 19021208 23776510 28531812 35664765 38042416 47553020 57063624 71329530 76084832 95106040 114127248 142659060 152169664 190212080 228254496 285318120 304339328 380424160 456508992 570636240 760848320 913017984 1141272480 1521696640 2282544960 4565089920