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4577020740 = 22325471493631
BaseRepresentation
bin1000100001100111…
…11100101101000100
3102210222110202002200
410100303330231010
533333204130430
62034101234500
7221265014535
oct42063745504
912728422080
104577020740
111a39677476
12a78a02a30
1357c332ac6
14315c3868c
151bbc54460
hex110cfcb44

4577020740 has 144 divisors (see below), whose sum is σ = 14278118400. Its totient is φ = 1186225920.

The previous prime is 4577020733. The next prime is 4577020753. The reversal of 4577020740 is 470207754.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4577020695 and 4577020704.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1258725 + ... + 1262355.

It is an arithmetic number, because the mean of its divisors is an integer number (99153600).

Almost surely, 24577020740 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 4577020740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7139059200).

4577020740 is an abundant number, since it is smaller than the sum of its proper divisors (9701097660).

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

4577020740 is a wasteful number, since it uses less digits than its factorization.

4577020740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3842 (or 3837 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 36.

The square root of 4577020740 is about 67653.6823831490. The cubic root of 4577020740 is about 1660.3295349071.

The spelling of 4577020740 in words is "four billion, five hundred seventy-seven million, twenty thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 90 94 141 149 180 188 235 282 298 423 447 470 564 596 705 745 846 894 940 1341 1410 1490 1692 1788 2115 2235 2682 2820 2980 3631 4230 4470 5364 6705 7003 7262 8460 8940 10893 13410 14006 14524 18155 21009 21786 26820 28012 32679 35015 36310 42018 43572 54465 63027 65358 70030 72620 84036 105045 108930 126054 130716 140060 163395 170657 210090 217860 252108 315135 326790 341314 420180 511971 541019 630270 653580 682628 853285 1023942 1082038 1260540 1535913 1623057 1706570 2047884 2164076 2559855 2705095 3071826 3246114 3413140 4869171 5119710 5410190 6143652 6492228 7679565 8115285 9738342 10239420 10820380 15359130 16230570 19476684 24345855 25427893 30718260 32461140 48691710 50855786 76283679 97383420 101711572 127139465 152567358 228851037 254278930 305134716 381418395 457702074 508557860 762836790 915404148 1144255185 1525673580 2288510370 4577020740