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897287952 = 2431141181229
BaseRepresentation
bin110101011110111…
…000011100010000
32022112101221200010
4311132320130100
53314201203302
6225011554520
731143551601
oct6536703420
92275357603
10897287952
1142054a7a0
122105bba40
13113b87122
1487251da8
1553b9316c
hex357b8710

897287952 has 160 divisors (see below), whose sum is σ = 2616082560. Its totient is φ = 262656000.

The previous prime is 897287947. The next prime is 897287959. The reversal of 897287952 is 259782798.

897287952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 897287892 and 897287901.

It is not an unprimeable number, because it can be changed into a prime (897287959) 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, 3918174 + ... + 3918402.

It is an arithmetic number, because the mean of its divisors is an integer number (16350516).

Almost surely, 2897287952 is an apocalyptic number.

897287952 is a gapful number since it is divisible by the number (82) 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 897287952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1308041280).

897287952 is an abundant number, since it is smaller than the sum of its proper divisors (1718794608).

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

897287952 is a wasteful number, since it uses less digits than its factorization.

897287952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 467 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 57.

The square root of 897287952 is about 29954.7650967254. The cubic root of 897287952 is about 964.5186112337.

The spelling of 897287952 in words is "eight hundred ninety-seven million, two hundred eighty-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 41 44 48 66 82 88 123 132 164 176 181 229 246 264 328 362 451 458 492 528 543 656 687 724 902 916 984 1086 1353 1374 1448 1804 1832 1968 1991 2172 2519 2706 2748 2896 3608 3664 3982 4344 5038 5412 5496 5973 7216 7421 7557 7964 8688 9389 10076 10824 10992 11946 14842 15114 15928 18778 20152 21648 22263 23892 28167 29684 30228 31856 37556 40304 41449 44526 47784 56334 59368 60456 75112 81631 82898 89052 95568 103279 112668 118736 120912 124347 150224 163262 165796 178104 206558 225336 244893 248694 309837 326524 331592 356208 413116 450672 455939 489786 497388 619674 653048 663184 826232 911878 979572 994776 1239348 1306096 1367817 1652464 1699409 1823756 1959144 1989552 2478696 2735634 3398818 3647512 3918288 4957392 5098227 5471268 6797636 7295024 10196454 10942536 13595272 18693499 20392908 21885072 27190544 37386998 40785816 56080497 74773996 81571632 112160994 149547992 224321988 299095984 448643976 897287952