Search a number
-
+
705408552 = 233237264793
BaseRepresentation
bin101010000010111…
…010111000101000
31211011100110121200
4222002322320220
52421041033202
6153555204200
723323605462
oct5202727050
91734313550
10705408552
11332203982
121782a6660
13b31b4114
1469985132
1541ddee1c
hex2a0bae28

705408552 has 48 divisors (see below), whose sum is σ = 1962123540. Its totient is φ = 228780288.

The previous prime is 705408533. The next prime is 705408553. The reversal of 705408552 is 255804507.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 572836356 + 132572196 = 23934^2 + 11514^2 .

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

It is not an unprimeable number, because it can be changed into a prime (705408553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 129733 + ... + 135060.

Almost surely, 2705408552 is an apocalyptic number.

705408552 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

705408552 is an abundant number, since it is smaller than the sum of its proper divisors (1256714988).

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

705408552 is a wasteful number, since it uses less digits than its factorization.

705408552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264842 (or 264835 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 705408552 is about 26559.5284596696. The cubic root of 705408552 is about 890.1849348471.

The spelling of 705408552 in words is "seven hundred five million, four hundred eight thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 888 1332 2664 264793 529586 794379 1059172 1588758 2118344 2383137 3177516 4766274 6355032 9532548 9797341 19065096 19594682 29392023 39189364 58784046 78378728 88176069 117568092 176352138 235136184 352704276 705408552