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38484630625 = 5472192592
BaseRepresentation
bin100011110101110111…
…001101110001100001
310200100001121210111211
4203311313031301201
51112304031140000
625402443110121
72531453651200
oct436567156141
9120301553454
1038484630625
1115359630661
127560512341
13382413b7ac
141c11227237
1510039537ba
hex8f5dcdc61

38484630625 has 135 divisors (see below), whose sum is σ = 60058819557. Its totient is φ = 24576804000.

The previous prime is 38484630599. The next prime is 38484630643. The reversal of 38484630625 is 52603648483.

The square root of 38484630625 is 196175.

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

It can be written as a sum of positive squares in 2 ways, for example, as 3017195041 + 35467435584 = 54929^2 + 188328^2 .

It is not a de Polignac number, because 38484630625 - 221 = 38482533473 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 652281846 + ... + 652281904.

Almost surely, 238484630625 is an apocalyptic number.

38484630625 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

38484630625 is the 196175-th square number.

38484630625 is the 98088-th centered octagonal number.

It is an amenable number.

38484630625 is a deficient number, since it is larger than the sum of its proper divisors (21574188932).

38484630625 is an frugal number, since it uses more digits than its factorization.

38484630625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 49.

Multiplying 38484630625 by its sum of digits (49), we get a square (1885746900625 = 13732252).

38484630625 divided by its sum of digits (49) gives a square (785400625 = 280252).

The spelling of 38484630625 in words is "thirty-eight billion, four hundred eighty-four million, six hundred thirty thousand, six hundred twenty-five".

Divisors: 1 5 7 19 25 35 49 59 95 125 133 175 245 295 361 413 475 625 665 875 931 1121 1225 1475 1805 2065 2375 2527 2891 3325 3481 4375 4655 5605 6125 7375 7847 9025 10325 11875 12635 14455 16625 17405 17689 21299 23275 24367 28025 30625 36875 39235 45125 51625 54929 63175 66139 72275 83125 87025 88445 106495 116375 121835 140125 149093 170569 196175 225625 258125 274645 315875 330695 361375 435125 442225 462973 532475 581875 609175 700625 745465 852845 980875 1043651 1256641 1373225 1579375 1653475 1806875 2175625 2211125 2314865 2662375 3045875 3240811 3727325 4264225 4904375 5218255 6283205 6866125 8267375 8796487 11055625 11574325 13311875 15229375 16204055 18636625 21321125 26091275 31416025 34330625 41336875 43982435 57871625 61575409 81020275 93183125 106605625 130456375 157080125 219912175 289358125 307877045 405101375 652281875 785400625 1099560875 1539385225 2025506875 5497804375 7696926125 38484630625