Search a number
-
+
488109027904 = 2623237972
BaseRepresentation
bin1110001101001011001…
…00001011001001000000
31201122220011020202001121
413012211210023021000
530444121402343104
61012122330242024
750156540165251
oct7064544131100
91648804222047
10488109027904
11179007904133
127a722886314
133704a76b004
14198a5ca6b28
15ca6bc4c254
hex71a590b240

488109027904 has 63 divisors (see below), whose sum is σ = 1012801742617. Its totient is φ = 233381967104.

The previous prime is 488109027883. The next prime is 488109027943. The reversal of 488109027904 is 409720901884.

It is a happy number.

The square root of 488109027904 is 698648.

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

It can be written as a sum of positive squares in only one way, i.e., 6406401600 + 481702626304 = 80040^2 + 694048^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 128549334 + ... + 128553130.

Almost surely, 2488109027904 is an apocalyptic number.

488109027904 is the 698648-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 488109027904

488109027904 is an abundant number, since it is smaller than the sum of its proper divisors (524692714713).

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

488109027904 is an frugal number, since it uses more digits than its factorization.

488109027904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7652 (or 3822 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 52.

The spelling of 488109027904 in words is "four hundred eighty-eight billion, one hundred nine million, twenty-seven thousand, nine hundred four".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 368 529 736 1058 1472 2116 3797 4232 7594 8464 15188 16928 30376 33856 60752 87331 121504 174662 243008 349324 698648 1397296 2008613 2794592 4017226 5589184 8034452 14417209 16068904 28834418 32137808 57668836 64275616 115337672 128551232 230675344 331595807 461350688 663191614 922701376 1326383228 2652766456 5305532912 7626703561 10611065824 15253407122 21222131648 30506814244 61013628488 122027256976 244054513952 488109027904