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897870880 = 25553113937
BaseRepresentation
bin110101100001000…
…110110000100000
32022120111120022001
4311201012300200
53314323332010
6225032253344
731151530234
oct6541066040
92276446261
10897870880
11420908755
12210841254
1311402c55a
14873645c4
1553c5ac3a
hex35846c20

897870880 has 96 divisors (see below), whose sum is σ = 2182695984. Its totient is φ = 348880896.

The previous prime is 897870829. The next prime is 897870881. The reversal of 897870880 is 88078798.

It can be written as a sum of positive squares in 8 ways, for example, as 44997264 + 852873616 = 6708^2 + 29204^2 .

It is not an unprimeable number, because it can be changed into a prime (897870881) 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 15 ways as a sum of consecutive naturals, for example, 957772 + ... + 958708.

Almost surely, 2897870880 is an apocalyptic number.

897870880 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 897870880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1091347992).

897870880 is an abundant number, since it is smaller than the sum of its proper divisors (1284825104).

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

897870880 is a wasteful number, since it uses less digits than its factorization.

897870880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 55.

The square root of 897870880 is about 29964.4936549911. The cubic root of 897870880 is about 964.7274342737.

The spelling of 897870880 in words is "eight hundred ninety-seven million, eight hundred seventy thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 80 106 113 160 212 226 265 424 452 530 565 848 904 937 1060 1130 1696 1808 1874 2120 2260 3616 3748 4240 4520 4685 5989 7496 8480 9040 9370 11978 14992 18080 18740 23956 29945 29984 37480 47912 49661 59890 74960 95824 99322 105881 119780 149920 191648 198644 211762 239560 248305 397288 423524 479120 496610 529405 794576 847048 958240 993220 1058810 1589152 1694096 1986440 2117620 3388192 3972880 4235240 5611693 7945760 8470480 11223386 16940960 22446772 28058465 44893544 56116930 89787088 112233860 179574176 224467720 448935440 897870880