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4584914944 = 214234
BaseRepresentation
bin1000100010100100…
…00100000000000000
3102211112022210220121
410101102010000000
533342214234234
62034542350024
7221422063651
oct42122040000
912745283817
104584914944
111a43079505
12a7b58b314
13580b6802c
14316cd1528
151bc7b34b4
hex111484000

4584914944 has 75 divisors (see below), whose sum is σ = 9586346287. Its totient is φ = 2192785408.

The previous prime is 4584914941. The next prime is 4584914953. The reversal of 4584914944 is 4494194854.

The square root of 4584914944 is 67712.

It is a perfect power (a square), and thus also a powerful number.

It is an ABA number since it can be written as A⋅BA, here for A=4, B=184.

It is a Duffinian number.

Its product of digits (3317760) is a multiple of the sum of its prime factors (120).

It is a junction number, because it is equal to n+sod(n) for n = 4584914891 and 4584914900.

It is not an unprimeable number, because it can be changed into a prime (4584914941) by changing a digit.

It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 199344117 + ... + 199344139.

Almost surely, 24584914944 is an apocalyptic number.

4584914944 is the 67712-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4584914944

4584914944 is an abundant number, since it is smaller than the sum of its proper divisors (5001431343).

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

4584914944 is an frugal number, since it uses more digits than its factorization.

4584914944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 25 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 52.

The cubic root of 4584914944 is about 1661.2835362544.

The spelling of 4584914944 in words is "four billion, five hundred eighty-four million, nine hundred fourteen thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 512 529 736 1024 1058 1472 2048 2116 2944 4096 4232 5888 8192 8464 11776 12167 16384 16928 23552 24334 33856 47104 48668 67712 94208 97336 135424 188416 194672 270848 279841 376832 389344 541696 559682 778688 1083392 1119364 1557376 2166784 2238728 3114752 4333568 4477456 6229504 8667136 8954912 12459008 17909824 24918016 35819648 49836032 71639296 99672064 143278592 199344128 286557184 573114368 1146228736 2292457472 4584914944