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11396448 = 253275653
BaseRepresentation
bin101011011110…
…010101100000
3210102222222200
4223132111200
510404141243
61044133200
7165603540
oct53362540
923388880
1011396448
116484358
123997200
13249037b
141729320
151001ad3
hexade560

11396448 has 72 divisors (see below), whose sum is σ = 37045008. Its totient is φ = 3255552.

The previous prime is 11396417. The next prime is 11396453. The reversal of 11396448 is 84469311.

11396448 is a `hidden beast` number, since 1 + 1 + 3 + 9 + 644 + 8 = 666.

11396448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 811 + ... + 4842.

It is an arithmetic number, because the mean of its divisors is an integer number (514514).

Almost surely, 211396448 is an apocalyptic number.

11396448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11396448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18522504).

11396448 is an abundant number, since it is smaller than the sum of its proper divisors (25648560).

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

11396448 is a wasteful number, since it uses less digits than its factorization.

11396448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5676 (or 5665 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 11396448 is about 3375.8625564439. The cubic root of 11396448 is about 225.0383342092.

The spelling of 11396448 in words is "eleven million, three hundred ninety-six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 5653 11306 16959 22612 33918 39571 45224 50877 67836 79142 90448 101754 118713 135672 158284 180896 203508 237426 271344 316568 356139 407016 474852 542688 633136 712278 814032 949704 1266272 1424556 1628064 1899408 2849112 3798816 5698224 11396448