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4584134772 = 2232761729483
BaseRepresentation
bin1000100010011110…
…00101100001110100
3102211110212011201100
410101033011201310
533342014303042
62034513530100
7221412334260
oct42117054164
912743764640
104584134772
111a42696338
12a7b273930
13580953ba9
14316b6b0a0
151bc6ac24c
hex1113c5874

4584134772 has 72 divisors (see below), whose sum is σ = 13264969536. Its totient is φ = 1307585664.

The previous prime is 4584134749. The next prime is 4584134831. The reversal of 4584134772 is 2774314854.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140743 + ... + 170225.

It is an arithmetic number, because the mean of its divisors is an integer number (184235688).

Almost surely, 24584134772 is an apocalyptic number.

4584134772 is a gapful number since it is divisible by the number (42) 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 4584134772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6632484768).

4584134772 is an abundant number, since it is smaller than the sum of its proper divisors (8680834764).

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

4584134772 is a wasteful number, since it uses less digits than its factorization.

4584134772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30117 (or 30112 counting only the distinct ones).

The product of its digits is 752640, while the sum is 45.

The square root of 4584134772 is about 67706.2387967313. The cubic root of 4584134772 is about 1661.1893025601.

The spelling of 4584134772 in words is "four billion, five hundred eighty-four million, one hundred thirty-four thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 617 1234 1851 2468 3702 4319 5553 7404 8638 11106 12957 17276 22212 25914 29483 38871 51828 58966 77742 88449 117932 155484 176898 206381 265347 353796 412762 530694 619143 825524 1061388 1238286 1857429 2476572 3714858 7429716 18191011 36382022 54573033 72764044 109146066 127337077 163719099 218292132 254674154 327438198 382011231 509348308 654876396 764022462 1146033693 1528044924 2292067386 4584134772