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11427948 = 22327101449
BaseRepresentation
bin101011100110…
…000001101100
3210111121012100
4223212001230
510411143243
61044535100
7166064430
oct53460154
923447170
1011427948
1164a5a94
1239b1490
1324a17cc
1417369c0
15100b0d3
hexae606c

11427948 has 72 divisors (see below), whose sum is σ = 33415200. Its totient is φ = 3225600.

The previous prime is 11427929. The next prime is 11427959. The reversal of 11427948 is 84972411.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

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 23 ways as a sum of consecutive naturals, for example, 25228 + ... + 25676.

It is an arithmetic number, because the mean of its divisors is an integer number (464100).

Almost surely, 211427948 is an apocalyptic number.

11427948 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 11427948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16707600).

11427948 is an abundant number, since it is smaller than the sum of its proper divisors (21987252).

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

11427948 is a wasteful number, since it uses less digits than its factorization.

11427948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 562 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 11427948 is about 3380.5248113274. The cubic root of 11427948 is about 225.2454802261.

The spelling of 11427948 in words is "eleven million, four hundred twenty-seven thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 101 126 202 252 303 404 449 606 707 898 909 1212 1347 1414 1796 1818 2121 2694 2828 3143 3636 4041 4242 5388 6286 6363 8082 8484 9429 12572 12726 16164 18858 25452 28287 37716 45349 56574 90698 113148 136047 181396 272094 317443 408141 544188 634886 816282 952329 1269772 1632564 1904658 2856987 3809316 5713974 11427948