Search a number
-
+
53828524600 = 235217116313613
BaseRepresentation
bin110010001000011011…
…100001101000111000
312010221101212101001021
4302020123201220320
51340220100241400
640421204032224
73613630624024
oct621033415070
9163841771037
1053828524600
1120912887274
12a523092674
1350cacb36b6
142868da9384
151600a4771a
hexc886e1a38

53828524600 has 96 divisors (see below), whose sum is σ = 132636845520. Its totient is φ = 20245944320.

The previous prime is 53828524573. The next prime is 53828524613. The reversal of 53828524600 is 642582835.

It is a super-2 number, since 2×538285246002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3947394 + ... + 3961006.

Almost surely, 253828524600 is an apocalyptic number.

53828524600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53828524600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66318422760).

53828524600 is an abundant number, since it is smaller than the sum of its proper divisors (78808320920).

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

53828524600 is a wasteful number, since it uses less digits than its factorization.

53828524600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14809 (or 14800 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 43.

The spelling of 53828524600 in words is "fifty-three billion, eight hundred twenty-eight million, five hundred twenty-four thousand, six hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1163 1700 2326 3400 4652 5815 9304 11630 13613 19771 23260 27226 29075 39542 46520 54452 58150 68065 79084 98855 108904 116300 136130 158168 197710 231421 232600 272260 340325 395420 462842 494275 544520 680650 790840 925684 988550 1157105 1361300 1851368 1977100 2314210 2722600 3954200 4628420 5785525 9256840 11571050 15831919 23142100 31663838 46284200 63327676 79159595 126655352 158319190 269142623 316638380 395797975 538285246 633276760 791595950 1076570492 1345713115 1583191900 2153140984 2691426230 3166383800 5382852460 6728565575 10765704920 13457131150 26914262300 53828524600