Search a number
-
+
72057146 = 2722572861
BaseRepresentation
bin1000100101110…
…00000100111010
312000120212211012
410102320010322
5121421312041
611052233522
71533322100
oct422700472
9160525735
1072057146
1137746667
122016b8a2
1311c0bc85
1497d9c70
1564d53eb
hex44b813a

72057146 has 24 divisors (see below), whose sum is σ = 126265716. Its totient is φ = 30750720.

The previous prime is 72057127. The next prime is 72057149. The reversal of 72057146 is 64175027.

It can be written as a sum of positive squares in 2 ways, for example, as 63123025 + 8934121 = 7945^2 + 2989^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72057149) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 23756 + ... + 26616.

Almost surely, 272057146 is an apocalyptic number.

72057146 is a deficient number, since it is larger than the sum of its proper divisors (54208570).

72057146 is a wasteful number, since it uses less digits than its factorization.

72057146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3134 (or 3127 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 32.

The square root of 72057146 is about 8488.6480666829. The cubic root of 72057146 is about 416.1267989026.

The spelling of 72057146 in words is "seventy-two million, fifty-seven thousand, one hundred forty-six".

Divisors: 1 2 7 14 49 98 257 514 1799 2861 3598 5722 12593 20027 25186 40054 140189 280378 735277 1470554 5146939 10293878 36028573 72057146