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484129620 = 2232513313661
BaseRepresentation
bin11100110110110…
…011101101010100
31020201222022222200
4130312303231110
51442414121440
6120012324500
714666014422
oct3466635524
91221868880
10484129620
11229307827
12116173730
13793b9540
1448424112
152c780c30
hex1cdb3b54

484129620 has 144 divisors (see below), whose sum is σ = 1588942992. Its totient is φ = 118609920.

The previous prime is 484129603. The next prime is 484129627. The reversal of 484129620 is 26921484.

484129620 is a `hidden beast` number, since 4 + 8 + 4 + 1 + 29 + 620 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 96118416 + 388011204 = 9804^2 + 19698^2 .

It is a super-2 number, since 2×4841296202 = 468762977922688800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (484129627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 732090 + ... + 732750.

Almost surely, 2484129620 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 484129620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794471496).

484129620 is an abundant number, since it is smaller than the sum of its proper divisors (1104813372).

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

484129620 is a wasteful number, since it uses less digits than its factorization.

484129620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 484129620 is about 22002.9457118814. The cubic root of 484129620 is about 785.2125244421.

The spelling of 484129620 in words is "four hundred eighty-four million, one hundred twenty-nine thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 313 390 468 585 626 661 780 939 1170 1252 1322 1565 1878 1983 2340 2644 2817 3130 3305 3756 3966 4069 4695 5634 5949 6260 6610 7932 8138 8593 9390 9915 11268 11898 12207 13220 14085 16276 17186 18780 19830 20345 23796 24414 25779 28170 29745 34372 36621 39660 40690 42965 48828 51558 56340 59490 61035 73242 77337 81380 85930 103116 118980 122070 128895 146484 154674 171860 183105 206893 244140 257790 309348 366210 386685 413786 515580 620679 732420 773370 827572 1034465 1241358 1546740 1862037 2068930 2482716 2689609 3103395 3724074 4137860 5379218 6206790 7448148 8068827 9310185 10758436 12413580 13448045 16137654 18620370 24206481 26896090 32275308 37240740 40344135 48412962 53792180 80688270 96825924 121032405 161376540 242064810 484129620