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896490648 = 2332176112007
BaseRepresentation
bin110101011011110…
…101110010011000
32022110220102222100
4311123311302120
53314000200043
6224542523400
731134021234
oct6533656230
92273812870
10896490648
11420055769
12210296560
13113968251
14870c55c4
1553a86cd3
hex356f5c98

896490648 has 96 divisors (see below), whose sum is σ = 2613180960. Its totient is φ = 276618240.

The previous prime is 896490641. The next prime is 896490677. The reversal of 896490648 is 846094698.

896490648 is a `hidden beast` number, since 8 + 96 + 490 + 64 + 8 = 666.

It is a super-3 number, since 3×8964906483 (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 896490594 and 896490603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (896490641) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 68661 + ... + 80667.

It is an arithmetic number, because the mean of its divisors is an integer number (27220635).

Almost surely, 2896490648 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 896490648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306590480).

896490648 is an abundant number, since it is smaller than the sum of its proper divisors (1716690312).

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

896490648 is a wasteful number, since it uses less digits than its factorization.

896490648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12097 (or 12090 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 896490648 is about 29941.4536721249. The cubic root of 896490648 is about 964.2328455059.

The spelling of 896490648 in words is "eight hundred ninety-six million, four hundred ninety thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 61 68 72 102 122 136 153 183 204 244 306 366 408 488 549 612 732 1037 1098 1224 1464 2074 2196 3111 4148 4392 6222 8296 9333 12007 12444 18666 24014 24888 36021 37332 48028 72042 74664 96056 108063 144084 204119 216126 288168 408238 432252 612357 732427 816476 864504 1224714 1464854 1632952 1837071 2197281 2449428 2929708 3674142 4394562 4898856 5859416 6591843 7348284 8789124 12451259 13183686 14696568 17578248 24902518 26367372 37353777 49805036 52734744 74707554 99610072 112061331 149415108 224122662 298830216 448245324 896490648