Search a number
-
+
70854048 = 253382007
BaseRepresentation
bin1000011100100…
…10010110100000
311221022202111000
410032102112200
5121114312143
611010352000
71520151366
oct416222640
9157282430
1070854048
1136aa4771
121b88b600
13118aa495
1495a5636
156348bd3
hex43925a0

70854048 has 48 divisors (see below), whose sum is σ = 206660160. Its totient is φ = 23617728.

The previous prime is 70854031. The next prime is 70854061. The reversal of 70854048 is 84045807.

70854048 is a `hidden beast` number, since 70 + 8 + 540 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×708540482 = 10040592235972608, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40140 + ... + 41867.

It is an arithmetic number, because the mean of its divisors is an integer number (4305420).

Almost surely, 270854048 is an apocalyptic number.

It is an amenable number.

70854048 is an abundant number, since it is smaller than the sum of its proper divisors (135806112).

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

70854048 is a wasteful number, since it uses less digits than its factorization.

70854048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82026 (or 82012 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 70854048 is about 8417.4846599207. The cubic root of 70854048 is about 413.7978429112.

It can be divided in two parts, 708 and 54048, that added together give a square (54756 = 2342).

The spelling of 70854048 in words is "seventy million, eight hundred fifty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 82007 164014 246021 328028 492042 656056 738063 984084 1312112 1476126 1968168 2214189 2624224 2952252 3936336 4428378 5904504 7872672 8856756 11809008 17713512 23618016 35427024 70854048