Search a number
-
+
11738048 = 267219197
BaseRepresentation
bin101100110001…
…101111000000
3211002100120112
4230301233000
511001104143
61055330452
7201525500
oct54615700
924070515
1011738048
116697a73
123b20a28
13257c9ba
1417b7a00
15106ce18
hexb31bc0

11738048 has 84 divisors (see below), whose sum is σ = 28666440. Its totient is φ = 4741632.

The previous prime is 11738039. The next prime is 11738053. The reversal of 11738048 is 84083711.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 11 ways as a sum of consecutive naturals, for example, 59486 + ... + 59682.

Almost surely, 211738048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11738048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14333220).

11738048 is an abundant number, since it is smaller than the sum of its proper divisors (16928392).

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

11738048 is a wasteful number, since it uses less digits than its factorization.

11738048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 11738048 is about 3426.0834782591. The cubic root of 11738048 is about 227.2646876574.

The spelling of 11738048 in words is "eleven million, seven hundred thirty-eight thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 49 56 64 76 98 112 133 152 196 197 224 266 304 392 394 448 532 608 784 788 931 1064 1216 1379 1568 1576 1862 2128 2758 3136 3152 3724 3743 4256 5516 6304 7448 7486 8512 9653 11032 12608 14896 14972 19306 22064 26201 29792 29944 38612 44128 52402 59584 59888 77224 88256 104804 119776 154448 183407 209608 239552 308896 366814 419216 617792 733628 838432 1467256 1676864 2934512 5869024 11738048