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897948072 = 233374011481
BaseRepresentation
bin110101100001011…
…001100110101000
32022120122111012000
4311201121212220
53314333314242
6225034051000
731152301260
oct6541314650
92276574160
10897948072
1142096074a
12210879a60
13114058728
14873847a0
1553c73a4c
hex358599a8

897948072 has 128 divisors (see below), whose sum is σ = 2859667200. Its totient is φ = 255744000.

The previous prime is 897948071. The next prime is 897948091. The reversal of 897948072 is 270849798.

897948072 is a `hidden beast` number, since 8 + 97 + 9 + 480 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (897948071) 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, 605572 + ... + 607052.

It is an arithmetic number, because the mean of its divisors is an integer number (22341150).

Almost surely, 2897948072 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 897948072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1429833600).

897948072 is an abundant number, since it is smaller than the sum of its proper divisors (1961719128).

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

897948072 is a wasteful number, since it uses less digits than its factorization.

897948072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1904 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The square root of 897948072 is about 29965.7816851154. The cubic root of 897948072 is about 964.7550800848.

The spelling of 897948072 in words is "eight hundred ninety-seven million, nine hundred forty-eight thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 401 504 756 802 1203 1481 1512 1604 2406 2807 2962 3208 3609 4443 4812 5614 5924 7218 8421 8886 9624 10367 10827 11228 11848 13329 14436 16842 17772 20734 21654 22456 25263 26658 28872 31101 33684 35544 39987 41468 43308 50526 53316 62202 67368 75789 79974 82936 86616 93303 101052 106632 124404 151578 159948 186606 202104 248808 279909 303156 319896 373212 559818 593881 606312 746424 1119636 1187762 1781643 2239272 2375524 3563286 4157167 4751048 5344929 7126572 8314334 10689858 12471501 14253144 16034787 16628668 21379716 24943002 32069574 33257336 37414503 42759432 49886004 64139148 74829006 99772008 112243509 128278296 149658012 224487018 299316024 448974036 897948072