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848325920 = 255132137229
BaseRepresentation
bin110010100100000…
…110110100100000
32012010021102101112
4302210012310200
53214132412140
6220102322452
730010436261
oct6244066440
92163242345
10848325920
113a5948902
121b8129428
131069a3300
1480948968
154e720c65
hex32906d20

848325920 has 144 divisors (see below), whose sum is σ = 2195582760. Its totient is φ = 309583872.

The previous prime is 848325883. The next prime is 848325923. The reversal of 848325920 is 29523848.

It can be written as a sum of positive squares in 12 ways, for example, as 46076944 + 802248976 = 6788^2 + 28324^2 .

It is not an unprimeable number, because it can be changed into a prime (848325923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3704366 + ... + 3704594.

Almost surely, 2848325920 is an apocalyptic number.

848325920 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 848325920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097791380).

848325920 is an abundant number, since it is smaller than the sum of its proper divisors (1347256840).

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

848325920 is a wasteful number, since it uses less digits than its factorization.

848325920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 41.

The square root of 848325920 is about 29126.0350889028. The cubic root of 848325920 is about 946.6459450158.

The spelling of 848325920 in words is "eight hundred forty-eight million, three hundred twenty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 137 160 169 208 229 260 274 338 416 458 520 548 676 685 845 916 1040 1096 1145 1352 1370 1690 1781 1832 2080 2192 2290 2704 2740 2977 3380 3562 3664 4384 4580 5408 5480 5954 6760 7124 7328 8905 9160 10960 11908 13520 14248 14885 17810 18320 21920 23153 23816 27040 28496 29770 31373 35620 36640 38701 46306 47632 56992 59540 62746 71240 77402 92612 95264 115765 119080 125492 142480 154804 156865 185224 193505 231530 238160 250984 284960 309608 313730 370448 387010 407849 463060 476320 501968 619216 627460 740896 774020 815698 926120 1003936 1238432 1254920 1548040 1631396 1852240 2039245 2509840 3096080 3262792 3704480 4078490 5019680 5302037 6192160 6525584 8156980 10604074 13051168 16313960 21208148 26510185 32627920 42416296 53020370 65255840 84832592 106040740 169665184 212081480 424162960 848325920