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8493984 = 253429113
BaseRepresentation
bin100000011001…
…101110100000
3120222112120000
4200121232200
54133301414
6502020000
7132124542
oct40315640
916875500
108493984
114881724
122a17600
1319b5235
1411b1692
15b2bb09
hex819ba0

8493984 has 120 divisors (see below), whose sum is σ = 26070660. Its totient is φ = 2709504.

The previous prime is 8493983. The next prime is 8493997. The reversal of 8493984 is 4893948.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 7683984 + 810000 = 2772^2 + 900^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (8493983) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 75112 + ... + 75224.

Almost surely, 28493984 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 8493984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13035330).

8493984 is an abundant number, since it is smaller than the sum of its proper divisors (17576676).

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

8493984 is a wasteful number, since it uses less digits than its factorization.

8493984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 147 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 8493984 is about 2914.4440293133. Note that the first 3 decimals coincide. The cubic root of 8493984 is about 204.0345962086.

The spelling of 8493984 in words is "eight million, four hundred ninety-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 72 81 87 96 108 113 116 144 162 174 216 226 232 261 288 324 339 348 432 452 464 522 648 678 696 783 864 904 928 1017 1044 1296 1356 1392 1566 1808 2034 2088 2349 2592 2712 2784 3051 3132 3277 3616 4068 4176 4698 5424 6102 6264 6554 8136 8352 9153 9396 9831 10848 12204 12528 13108 16272 18306 18792 19662 24408 25056 26216 29493 32544 36612 37584 39324 48816 52432 58986 73224 75168 78648 88479 97632 104864 117972 146448 157296 176958 235944 265437 292896 314592 353916 471888 530874 707832 943776 1061748 1415664 2123496 2831328 4246992 8493984