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8969472 = 283217229
BaseRepresentation
bin100010001101…
…110100000000
3121212200210200
4202031310000
54244010342
6520125200
7136145031
oct42156400
917780720
108969472
115076996
123006800
131b207a5
141296a88
15bc294c
hex88dd00

8969472 has 108 divisors (see below), whose sum is σ = 27502020. Its totient is φ = 2801664.

The previous prime is 8969419. The next prime is 8969473. The reversal of 8969472 is 2749698.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 7750656 + 1218816 = 2784^2 + 1104^2 .

It is an alternating number because its digits alternate between even and odd.

It is a zygodrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8969473) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39054 + ... + 39282.

Almost surely, 28969472 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 8969472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13751010).

8969472 is an abundant number, since it is smaller than the sum of its proper divisors (18532548).

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

8969472 is a wasteful number, since it uses less digits than its factorization.

8969472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 251 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 8969472 is about 2994.9076780428. The cubic root of 8969472 is about 207.7729277393.

The spelling of 8969472 in words is "eight million, nine hundred sixty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 229 256 272 288 306 384 408 458 544 576 612 687 768 816 916 1088 1152 1224 1374 1632 1832 2061 2176 2304 2448 2748 3264 3664 3893 4122 4352 4896 5496 6528 7328 7786 8244 9792 10992 11679 13056 14656 15572 16488 19584 21984 23358 29312 31144 32976 35037 39168 43968 46716 58624 62288 65952 70074 87936 93432 124576 131904 140148 175872 186864 249152 263808 280296 373728 498304 527616 560592 747456 996608 1121184 1494912 2242368 2989824 4484736 8969472