Search a number
-
+
52825620432 = 24313316740759
BaseRepresentation
bin110001001100101001…
…101111111111010000
312001100111201120011110
4301030221233333100
51331141324323212
640133500213320
73550032236124
oct611451577720
9161314646143
1052825620432
112044875a552
12a2a323a240
134c9b29a690
1427b1b03584
151592990a3c
hexc4ca6ffd0

52825620432 has 160 divisors (see below), whose sum is σ = 153972367360. Its totient is φ = 15494561280.

The previous prime is 52825620431. The next prime is 52825620457. The reversal of 52825620432 is 23402652825.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52825620431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1275669 + ... + 1316427.

It is an arithmetic number, because the mean of its divisors is an integer number (962327296).

Almost surely, 252825620432 is an apocalyptic number.

52825620432 is a gapful number since it is divisible by the number (52) 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 52825620432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76986183680).

52825620432 is an abundant number, since it is smaller than the sum of its proper divisors (101146746928).

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

52825620432 is a wasteful number, since it uses less digits than its factorization.

52825620432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40881 (or 40875 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

The spelling of 52825620432 in words is "fifty-two billion, eight hundred twenty-five million, six hundred twenty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 39 48 52 62 67 78 93 104 124 134 156 186 201 208 248 268 312 372 402 403 496 536 624 744 804 806 871 1072 1209 1488 1608 1612 1742 2077 2418 2613 3216 3224 3484 4154 4836 5226 6231 6448 6968 8308 9672 10452 12462 13936 16616 19344 20904 24924 27001 33232 40759 41808 49848 54002 81003 81518 99696 108004 122277 162006 163036 216008 244554 324012 326072 432016 489108 529867 648024 652144 978216 1059734 1263529 1296048 1589601 1956432 2119468 2527058 2730853 3179202 3790587 4238936 5054116 5461706 6358404 7581174 8192559 8477872 10108232 10923412 12716808 15162348 16385118 16425877 20216464 21846824 25433616 30324696 32770236 32851754 35501089 43693648 49277631 60649392 65540472 65703508 71002178 84656443 98555262 106503267 131080944 131407016 142004356 169312886 197110524 213006534 253969329 262814032 284008712 338625772 394221048 426013068 507938658 568017424 677251544 788442096 852026136 1015877316 1100533759 1354503088 1704052272 2031754632 2201067518 3301601277 4063509264 4402135036 6603202554 8804270072 13206405108 17608540144 26412810216 52825620432