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11312352 = 253313093
BaseRepresentation
bin101011001001…
…110011100000
3210021201122000
4223021303200
510343443402
61042244000
7165103422
oct53116340
923251560
1011312352
116427157
123956600
132460ccc
141706812
15ed6c1c
hexac9ce0

11312352 has 48 divisors (see below), whose sum is σ = 32996880. Its totient is φ = 3770496.

The previous prime is 11312333. The next prime is 11312377. The reversal of 11312352 is 25321311.

11312352 is a `hidden beast` number, since 1 + 1 + 312 + 352 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 5683 + ... + 7410.

It is an arithmetic number, because the mean of its divisors is an integer number (687435).

Almost surely, 211312352 is an apocalyptic number.

11312352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11312352 is an abundant number, since it is smaller than the sum of its proper divisors (21684528).

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

11312352 is a wasteful number, since it uses less digits than its factorization.

11312352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13112 (or 13098 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 11312352 is about 3363.3840101897. The cubic root of 11312352 is about 224.4834371870.

Adding to 11312352 its reverse (25321311), we get a palindrome (36633663).

It can be divided in two parts, 11312 and 352, that added together give a square (11664 = 1082).

The spelling of 11312352 in words is "eleven million, three hundred twelve thousand, three hundred fifty-two".

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 13093 26186 39279 52372 78558 104744 117837 157116 209488 235674 314232 353511 418976 471348 628464 707022 942696 1256928 1414044 1885392 2828088 3770784 5656176 11312352