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165482496 = 21232672
BaseRepresentation
bin10011101110100…
…01000000000000
3102112101101022100
421313101000000
5314330414441
624230510400
74046402154
oct1167210000
9375341270
10165482496
11854574a3
1247505400
132839004a
1417d99064
15e7dbcb6
hex9dd1000

165482496 has 117 divisors (see below), whose sum is σ = 485243031. Its totient is φ = 54337536.

The previous prime is 165482491. The next prime is 165482503. The reversal of 165482496 is 694284561.

The square root of 165482496 is 12864.

It is a perfect power (a square), and thus also a powerful number.

165482496 is a `hidden beast` number, since 16 + 548 + 2 + 4 + 96 = 666.

Its product of digits (414720) is a multiple of the sum of its prime divisors (72).

It is not an unprimeable number, because it can be changed into a prime (165482491) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2469855 + ... + 2469921.

Almost surely, 2165482496 is an apocalyptic number.

165482496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

165482496 is the 12864-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165482496

165482496 is an abundant number, since it is smaller than the sum of its proper divisors (319760535).

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

165482496 is an frugal number, since it uses more digits than its factorization.

165482496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 72 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The cubic root of 165482496 is about 549.0147606690.

It can be divided in two parts, 16548 and 2496, that added together give a square (19044 = 1382).

The spelling of 165482496 in words is "one hundred sixty-five million, four hundred eighty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 67 72 96 128 134 144 192 201 256 268 288 384 402 512 536 576 603 768 804 1024 1072 1152 1206 1536 1608 2048 2144 2304 2412 3072 3216 4096 4288 4489 4608 4824 6144 6432 8576 8978 9216 9648 12288 12864 13467 17152 17956 18432 19296 25728 26934 34304 35912 36864 38592 40401 51456 53868 68608 71824 77184 80802 102912 107736 137216 143648 154368 161604 205824 215472 274432 287296 308736 323208 411648 430944 574592 617472 646416 823296 861888 1149184 1234944 1292832 1723776 2298368 2469888 2585664 3447552 4596736 5171328 6895104 9193472 10342656 13790208 18386944 20685312 27580416 41370624 55160832 82741248 165482496