Search a number
-
+
162401056 = 2519733659
BaseRepresentation
bin10011010111000…
…00101100100000
3102022120211100221
421223200230200
5313033313211
624040452424
74011246316
oct1153405440
9368524327
10162401056
1183742354
124647a114
13278515cc
14177d60b6
15e3cdc71
hex9ae0b20

162401056 has 48 divisors (see below), whose sum is σ = 341258400. Its totient is φ = 75852288.

The previous prime is 162401039. The next prime is 162401077. The reversal of 162401056 is 650104261.

It is a self number, because there is not a number n which added to its sum of digits gives 162401056.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42555 + ... + 46213.

It is an arithmetic number, because the mean of its divisors is an integer number (7109550).

Almost surely, 2162401056 is an apocalyptic number.

162401056 is a gapful number since it is divisible by the number (16) 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 162401056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170629200).

162401056 is an abundant number, since it is smaller than the sum of its proper divisors (178857344).

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

162401056 is a wasteful number, since it uses less digits than its factorization.

162401056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3761 (or 3753 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 162401056 is about 12743.6672900700. The cubic root of 162401056 is about 545.5856633746.

The spelling of 162401056 in words is "one hundred sixty-two million, four hundred one thousand, fifty-six".

Divisors: 1 2 4 8 16 19 32 38 73 76 146 152 292 304 584 608 1168 1387 2336 2774 3659 5548 7318 11096 14636 22192 29272 44384 58544 69521 117088 139042 267107 278084 534214 556168 1068428 1112336 2136856 2224672 4273712 5075033 8547424 10150066 20300132 40600264 81200528 162401056