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38828702500 = 2254725632
BaseRepresentation
bin100100001010010111…
…101111101100100100
310201020001001110101121
4210022113233230210
51114010121440000
625500533503324
72543132345200
oct441227575444
9121201043347
1038828702500
1115515876985
1276377a1b44
13387a4ca613
141c44bcdb00
151023c6ab1a
hex90a5efb24

38828702500 has 135 divisors (see below), whose sum is σ = 98949315927. Its totient is φ = 13289052000.

The previous prime is 38828702489. The next prime is 38828702501. The reversal of 38828702500 is 520782883.

The square root of 38828702500 is 197050.

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

38828702500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3044170276 + 35784532224 = 55174^2 + 189168^2 .

It is not an unprimeable number, because it can be changed into a prime (38828702501) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 68967219 + ... + 68967781.

Almost surely, 238828702500 is an apocalyptic number.

38828702500 is the 197050-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38828702500

38828702500 is an abundant number, since it is smaller than the sum of its proper divisors (60120613427).

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

38828702500 is an frugal number, since it uses more digits than its factorization.

38828702500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 43.

The spelling of 38828702500 in words is "thirty-eight billion, eight hundred twenty-eight million, seven hundred two thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 125 140 175 196 245 250 350 490 500 563 625 700 875 980 1126 1225 1250 1750 2252 2450 2500 2815 3500 3941 4375 4900 5630 6125 7882 8750 11260 12250 14075 15764 17500 19705 24500 27587 28150 30625 39410 55174 56300 61250 70375 78820 98525 110348 122500 137935 140750 197050 275870 281500 316969 351875 394100 492625 551740 633938 689675 703750 985250 1267876 1379350 1407500 1584845 1970500 2218783 2463125 2758700 3169690 3448375 4437566 4926250 6339380 6896750 7924225 8875132 9852500 11093915 13793500 15531481 15848450 17241875 22187830 31062962 31696900 34483750 39621125 44375660 55469575 62125924 68967500 77657405 79242250 110939150 155314810 158484500 198105625 221878300 277347875 310629620 388287025 396211250 554695750 776574050 792422500 1109391500 1386739375 1553148100 1941435125 2773478750 3882870250 5546957500 7765740500 9707175625 19414351250 38828702500