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897430752 = 25342911939
BaseRepresentation
bin110101011111011…
…011010011100000
32022112200012120000
4311133123103200
53314220241002
6225015020000
731145015121
oct6537332340
92275605500
10897430752
11420638009
1221066a600
13113c0711a
148728c048
1553bc061c
hex357db4e0

897430752 has 120 divisors (see below), whose sum is σ = 2730558600. Its totient is φ = 288804096.

The previous prime is 897430741. The next prime is 897430789. The reversal of 897430752 is 257034798.

It is a junction number, because it is equal to n+sod(n) for n = 897430698 and 897430707.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 69199 + ... + 81137.

It is an arithmetic number, because the mean of its divisors is an integer number (22754655).

Almost surely, 2897430752 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 897430752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365279300).

897430752 is an abundant number, since it is smaller than the sum of its proper divisors (1833127848).

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

897430752 is a wasteful number, since it uses less digits than its factorization.

897430752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11990 (or 11973 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 897430752 is about 29957.1485959529. The cubic root of 897430752 is about 964.5697750217.

It can be divided in two parts, 897 and 430752, that added together give a square (431649 = 6572).

The spelling of 897430752 in words is "eight hundred ninety-seven million, four hundred thirty thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 72 81 87 96 108 116 144 162 174 216 232 261 288 324 348 432 464 522 648 696 783 864 928 1044 1296 1392 1566 2088 2349 2592 2784 3132 4176 4698 6264 8352 9396 11939 12528 18792 23878 25056 35817 37584 47756 71634 75168 95512 107451 143268 191024 214902 286536 322353 346231 382048 429804 573072 644706 692462 859608 967059 1038693 1146144 1289412 1384924 1719216 1934118 2077386 2578824 2769848 3116079 3438432 3868236 4154772 5157648 5539696 6232158 7736472 8309544 9348237 10315296 11079392 12464316 15472944 16619088 18696474 24928632 28044711 30945888 33238176 37392948 49857264 56089422 74785896 99714528 112178844 149571792 224357688 299143584 448715376 897430752