Search a number
-
+
165079408 = 24134318457
BaseRepresentation
bin10011101011011…
…10100101110000
3102111121220101011
421311232211300
5314230020113
624214120304
74043103034
oct1165564560
9374556334
10165079408
118520166a
1247350094
132827b730
1417cd21c4
15e75c63d
hex9d6e970

165079408 has 40 divisors (see below), whose sum is σ = 352473968. Its totient is φ = 74414592.

The previous prime is 165079403. The next prime is 165079477. The reversal of 165079408 is 804970561.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165079403) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 285 + ... + 18172.

Almost surely, 2165079408 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 165079408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176236984).

165079408 is an abundant number, since it is smaller than the sum of its proper divisors (187394560).

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

165079408 is a wasteful number, since it uses less digits than its factorization.

165079408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18521 (or 18515 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 165079408 is about 12848.3231590741. The cubic root of 165079408 is about 548.5686285096.

The spelling of 165079408 in words is "one hundred sixty-five million, seventy-nine thousand, four hundred eight".

Divisors: 1 2 4 8 13 16 26 43 52 86 104 172 208 344 559 688 1118 2236 4472 8944 18457 36914 73828 147656 239941 295312 479882 793651 959764 1587302 1919528 3174604 3839056 6349208 10317463 12698416 20634926 41269852 82539704 165079408