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897408 = 27321941
BaseRepresentation
bin11011011000110000000
31200121000100
43123012000
5212204113
631122400
710425231
oct3330600
91617010
10897408
11563266
12373400
13255615
14195088
1512ad73
hexdb180

897408 has 96 divisors (see below), whose sum is σ = 2784600. Its totient is φ = 276480.

The previous prime is 897401. The next prime is 897433. The reversal of 897408 is 804798.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×8974082 = 1610682236928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (897401) by changing a digit.

897408 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21868 + ... + 21908.

2897408 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 897408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1392300).

897408 is an abundant number, since it is smaller than the sum of its proper divisors (1887192).

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

897408 is a wasteful number, since it uses less digits than its factorization.

897408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 897408 is about 947.3162090875. The cubic root of 897408 is about 96.4561623575.

The spelling of 897408 in words is "eight hundred ninety-seven thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 41 48 57 64 72 76 82 96 114 123 128 144 152 164 171 192 228 246 288 304 328 342 369 384 456 492 576 608 656 684 738 779 912 984 1152 1216 1312 1368 1476 1558 1824 1968 2337 2432 2624 2736 2952 3116 3648 3936 4674 5248 5472 5904 6232 7011 7296 7872 9348 10944 11808 12464 14022 15744 18696 21888 23616 24928 28044 37392 47232 49856 56088 74784 99712 112176 149568 224352 299136 448704 897408