Search a number
-
+
8497104 = 243711319
BaseRepresentation
bin100000011010…
…011111010000
3120222200211120
4200122133100
54133401404
6502042240
7132136620
oct40323720
916880746
108497104
114884000
122a19380
1319b6795
1411b2880
15b2c9d9
hex81a7d0

8497104 has 160 divisors (see below), whose sum is σ = 29045760. Its totient is φ = 2090880.

The previous prime is 8497091. The next prime is 8497133. The reversal of 8497104 is 4017948.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 447207 + ... + 447225.

It is an arithmetic number, because the mean of its divisors is an integer number (181536).

Almost surely, 28497104 is an apocalyptic number.

8497104 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8497104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14522880).

8497104 is an abundant number, since it is smaller than the sum of its proper divisors (20548656).

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

8497104 is a wasteful number, since it uses less digits than its factorization.

8497104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 8497104 is about 2914.9792452091. The cubic root of 8497104 is about 204.0595750648.

It can be divided in two parts, 84 and 97104, that multiplied together give a square (8156736 = 28562).

The spelling of 8497104 in words is "eight million, four hundred ninety-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 19 21 22 24 28 33 38 42 44 48 56 57 66 76 77 84 88 112 114 121 132 133 152 154 168 176 209 228 231 242 264 266 304 308 336 363 399 418 456 462 484 528 532 616 627 726 798 836 847 912 924 968 1064 1232 1254 1331 1452 1463 1596 1672 1694 1848 1936 2128 2299 2508 2541 2662 2904 2926 3192 3344 3388 3696 3993 4389 4598 5016 5082 5324 5808 5852 6384 6776 6897 7986 8778 9196 9317 10032 10164 10648 11704 13552 13794 15972 16093 17556 18392 18634 20328 21296 23408 25289 27588 27951 31944 32186 35112 36784 37268 40656 48279 50578 55176 55902 63888 64372 70224 74536 75867 96558 101156 110352 111804 128744 149072 151734 177023 193116 202312 223608 257488 303468 354046 386232 404624 447216 531069 606936 708092 772464 1062138 1213872 1416184 2124276 2832368 4248552 8497104