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897929640 = 2332511322073
BaseRepresentation
bin110101100001010…
…101000110101000
32022120121112220100
4311201111012220
53314332222030
6225033425400
731152163446
oct6541250650
92276545810
10897929640
11420948913
1221086b260
1311405021a
148737bb96
1553c6d360
hex358551a8

897929640 has 96 divisors (see below), whose sum is σ = 2944230120. Its totient is φ = 237318144.

The previous prime is 897929623. The next prime is 897929651. The reversal of 897929640 is 46929798.

It can be written as a sum of positive squares in 4 ways, for example, as 702992196 + 194937444 = 26514^2 + 13962^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29644 + ... + 51716.

Almost surely, 2897929640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 897929640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1472115060).

897929640 is an abundant number, since it is smaller than the sum of its proper divisors (2046300480).

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

897929640 is a wasteful number, since it uses less digits than its factorization.

897929640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22203 (or 22196 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 897929640 is about 29965.4741327415. The cubic root of 897929640 is about 964.7484789283.

The spelling of 897929640 in words is "eight hundred ninety-seven million, nine hundred twenty-nine thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 113 120 180 226 339 360 452 565 678 904 1017 1130 1356 1695 2034 2260 2712 3390 4068 4520 5085 6780 8136 10170 13560 20340 22073 40680 44146 66219 88292 110365 132438 176584 198657 220730 264876 331095 397314 441460 529752 662190 794628 882920 993285 1324380 1589256 1986570 2494249 2648760 3973140 4988498 7482747 7946280 9976996 12471245 14965494 19953992 22448241 24942490 29930988 37413735 44896482 49884980 59861976 74827470 89792964 99769960 112241205 149654940 179585928 224482410 299309880 448964820 897929640