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165473028 = 223273717747
BaseRepresentation
bin10011101110011…
…10101100000100
3102112100220022200
421313032230010
5314330114103
624230354500
74046332440
oct1167165404
9375326280
10165473028
1185450376
12474bba30
1328388946
1417d95820
15e7d90a3
hex9dceb04

165473028 has 72 divisors (see below), whose sum is σ = 490980672. Its totient is φ = 45997632.

The previous prime is 165473027. The next prime is 165473029. The reversal of 165473028 is 820374561.

165473028 is a `hidden beast` number, since 165 + 473 + 0 + 28 = 666.

165473028 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (165473027) and next prime (165473029).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 165472983 and 165473001.

It is not an unprimeable number, because it can be changed into a prime (165473027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 451 + ... + 18197.

It is an arithmetic number, because the mean of its divisors is an integer number (6819176).

Almost surely, 2165473028 is an apocalyptic number.

165473028 is a gapful number since it is divisible by the number (18) 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 165473028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245490336).

165473028 is an abundant number, since it is smaller than the sum of its proper divisors (325507644).

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

165473028 is a wasteful number, since it uses less digits than its factorization.

165473028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17801 (or 17796 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 165473028 is about 12863.6319910047. The cubic root of 165473028 is about 549.0042899323.

The spelling of 165473028 in words is "one hundred sixty-five million, four hundred seventy-three thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 37 42 63 74 84 111 126 148 222 252 259 333 444 518 666 777 1036 1332 1554 2331 3108 4662 9324 17747 35494 53241 70988 106482 124229 159723 212964 248458 319446 372687 496916 638892 656639 745374 1118061 1313278 1490748 1969917 2236122 2626556 3939834 4472244 4596473 5909751 7879668 9192946 11819502 13789419 18385892 23639004 27578838 41368257 55157676 82736514 165473028