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11878048 = 257134079
BaseRepresentation
bin101101010011…
…111010100000
3211100110121201
4231103322200
511020044143
61102330544
7202650610
oct55237240
924313551
1011878048
116783176
123b89a54
1325cb640
141812a40
15109964d
hexb53ea0

11878048 has 48 divisors (see below), whose sum is σ = 28788480. Its totient is φ = 4697856.

The previous prime is 11878043. The next prime is 11878067. The reversal of 11878048 is 84087811.

11878048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11877998 and 11878016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11878043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 873 + ... + 4951.

It is an arithmetic number, because the mean of its divisors is an integer number (599760).

Almost surely, 211878048 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 11878048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14394240).

11878048 is an abundant number, since it is smaller than the sum of its proper divisors (16910432).

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

11878048 is a wasteful number, since it uses less digits than its factorization.

11878048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4109 (or 4101 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 37.

The square root of 11878048 is about 3446.4544099698. The cubic root of 11878048 is about 228.1646497167.

It can be divided in two parts, 118780 and 48, that added together give a triangular number (118828 = T487).

The spelling of 11878048 in words is "eleven million, eight hundred seventy-eight thousand, forty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 1456 2912 4079 8158 16316 28553 32632 53027 57106 65264 106054 114212 130528 212108 228424 371189 424216 456848 742378 848432 913696 1484756 1696864 2969512 5939024 11878048