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4126848 = 27311977
BaseRepresentation
bin1111101111100010000000
321202122222020
433233202000
52024024343
6224241440
750035425
oct17574200
97678866
104126848
112369620
121470280
13b1652b
14795d4c
15567b83
hex3ef880

4126848 has 64 divisors (see below), whose sum is σ = 11970720. Its totient is φ = 1249280.

The previous prime is 4126823. The next prime is 4126861. The reversal of 4126848 is 8486214.

4126848 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 (64).

It is a Harshad number since it is a multiple of its sum of digits (33).

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

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 7 ways as a sum of consecutive naturals, for example, 3736 + ... + 4712.

Almost surely, 24126848 is an apocalyptic number.

4126848 is a gapful number since it is divisible by the number (48) 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 4126848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5985360).

4126848 is an abundant number, since it is smaller than the sum of its proper divisors (7843872).

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

4126848 is a wasteful number, since it uses less digits than its factorization.

4126848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005 (or 993 counting only the distinct ones).

The product of its digits is 12288, while the sum is 33.

The square root of 4126848 is about 2031.4644963671. The cubic root of 4126848 is about 160.4006625139.

It can be divided in two parts, 412 and 6848, that added together give a triangular number (7260 = T120).

The spelling of 4126848 in words is "four million, one hundred twenty-six thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 977 1056 1408 1954 2112 2931 3908 4224 5862 7816 10747 11724 15632 21494 23448 31264 32241 42988 46896 62528 64482 85976 93792 125056 128964 171952 187584 257928 343904 375168 515856 687808 1031712 1375616 2063424 4126848