Search a number
-
+
48727030564 = 221923721572
BaseRepresentation
bin101101011000010110…
…110111101100100100
311122202212111121211201
4231120112313230210
51244243104434224
634215045212244
73343333632412
oct553026675444
9148685447751
1048727030564
11197351582a3
12953a701084
13479710a284
1425036482b2
151402c43a44
hexb585b7b24

48727030564 has 81 divisors (see below), whose sum is σ = 93087498483. Its totient is φ = 22314367296.

The previous prime is 48727030553. The next prime is 48727030631. The reversal of 48727030564 is 46503072784.

The square root of 48727030564 is 220742.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2793968164 + 45933062400 = 52858^2 + 214320^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 310363174 + ... + 310363330.

Almost surely, 248727030564 is an apocalyptic number.

48727030564 is the 220742-nd square number.

It is an amenable number.

48727030564 is a deficient number, since it is larger than the sum of its proper divisors (44360467919).

48727030564 is a wasteful number, since it uses less digits than its factorization.

48727030564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 46.

The spelling of 48727030564 in words is "forty-eight billion, seven hundred twenty-seven million, thirty thousand, five hundred sixty-four".

Divisors: 1 2 4 19 37 38 74 76 148 157 314 361 628 703 722 1369 1406 1444 2738 2812 2983 5476 5809 5966 11618 11932 13357 23236 24649 26011 26714 49298 52022 53428 56677 98596 104044 110371 113354 214933 220742 226708 429866 441484 468331 494209 859732 912013 936662 988418 1824026 1873324 1976836 2097049 3648052 4083727 4194098 8167454 8388196 8898289 16334908 17328247 17796578 33744481 34656494 35593156 67488962 69312988 77590813 134977924 155181626 310363252 329236693 641145139 658473386 1282290278 1316946772 2564580556 12181757641 24363515282 48727030564