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8097984 = 263217827
BaseRepresentation
bin11110111001000011000000
3120020102100100
4132321003000
54033113414
6445322400
7125555166
oct36710300
916212310
108097984
114631154
122866400
1318a6c0b
14110b236
15a9e609
hex7b90c0

8097984 has 84 divisors (see below), whose sum is σ = 24606504. Its totient is φ = 2537472.

The previous prime is 8097983. The next prime is 8098007. The reversal of 8097984 is 4897908.

It is not an unprimeable number, because it can be changed into a prime (8097983) 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, 9379 + ... + 10205.

Almost surely, 28097984 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 8097984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12303252).

8097984 is an abundant number, since it is smaller than the sum of its proper divisors (16508520).

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

8097984 is a wasteful number, since it uses less digits than its factorization.

8097984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 8097984 is about 2845.6956970133. The cubic root of 8097984 is about 200.8132221999.

The spelling of 8097984 in words is "eight million, ninety-seven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 136 144 153 192 204 272 288 306 408 544 576 612 816 827 1088 1224 1632 1654 2448 2481 3264 3308 4896 4962 6616 7443 9792 9924 13232 14059 14886 19848 26464 28118 29772 39696 42177 52928 56236 59544 79392 84354 112472 119088 126531 158784 168708 224944 238176 253062 337416 449888 476352 506124 674832 899776 1012248 1349664 2024496 2699328 4048992 8097984