Search a number
-
+
857423520 = 253255571069
BaseRepresentation
bin110011000110110…
…011111010100000
32012202101121221200
4303012303322200
53224000023040
6221025321200
730150660012
oct6306637240
92182347850
10857423520
113aaaa1a88
121bb196200
1310883a1c5
1481c361b2
155041b630
hex331b3ea0

857423520 has 144 divisors (see below), whose sum is σ = 2933952840. Its totient is φ = 228022272.

The previous prime is 857423473. The next prime is 857423557. The reversal of 857423520 is 25324758.

857423520 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 4 ways, for example, as 482768784 + 374654736 = 21972^2 + 19356^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 801546 + ... + 802614.

Almost surely, 2857423520 is an apocalyptic number.

857423520 is a gapful number since it is divisible by the number (80) 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 857423520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1466976420).

857423520 is an abundant number, since it is smaller than the sum of its proper divisors (2076529320).

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

857423520 is a wasteful number, since it uses less digits than its factorization.

857423520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1647 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 857423520 is about 29281.7950269446. The cubic root of 857423520 is about 950.0179202529.

The spelling of 857423520 in words is "eight hundred fifty-seven million, four hundred twenty-three thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 557 720 1069 1114 1440 1671 2138 2228 2785 3207 3342 4276 4456 5013 5345 5570 6414 6684 8355 8552 8912 9621 10026 10690 11140 12828 13368 16035 16710 17104 17824 19242 20052 21380 22280 25065 25656 26736 32070 33420 34208 38484 40104 42760 44560 48105 50130 51312 53472 64140 66840 76968 80208 85520 89120 96210 100260 102624 128280 133680 153936 160416 171040 192420 200520 256560 267360 307872 384840 401040 513120 595433 769680 802080 1190866 1539360 1786299 2381732 2977165 3572598 4763464 5358897 5954330 7145196 8931495 9526928 10717794 11908660 14290392 17862990 19053856 21435588 23817320 26794485 28580784 35725980 42871176 47634640 53588970 57161568 71451960 85742352 95269280 107177940 142903920 171484704 214355880 285807840 428711760 857423520