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11352825 = 3352112139
BaseRepresentation
bin101011010011…
…101011111001
3210100210011000
4223103223321
510401242300
61043155213
7165332421
oct53235371
923323130
1011352825
116454600
123975b09
132476563
141717481
15ee3c00
hexad3af9

11352825 has 72 divisors (see below), whose sum is σ = 23088800. Its totient is φ = 5464800.

The previous prime is 11352797. The next prime is 11352841. The reversal of 11352825 is 52825311.

It is a happy number.

11352825 is a `hidden beast` number, since 113 + 528 + 25 = 666.

It is not a de Polignac number, because 11352825 - 28 = 11352569 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 81606 + ... + 81744.

Almost surely, 211352825 is an apocalyptic number.

11352825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11352825 is an abundant number, since it is smaller than the sum of its proper divisors (11735975).

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

11352825 is a wasteful number, since it uses less digits than its factorization.

11352825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 158 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 11352825 is about 3369.3953463493. The cubic root of 11352825 is about 224.7508352883.

It can be divided in two parts, 11 and 352825, that added together give a square (352836 = 5942).

The spelling of 11352825 in words is "eleven million, three hundred fifty-two thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 99 121 135 139 165 225 275 297 363 417 495 605 675 695 825 1089 1251 1485 1529 1815 2085 2475 3025 3267 3475 3753 4587 5445 6255 7425 7645 9075 10425 13761 16335 16819 18765 22935 27225 31275 38225 41283 50457 68805 81675 84095 93825 114675 151371 206415 252285 344025 420475 454113 756855 1032075 1261425 2270565 3784275 11352825