Search a number
-
+
5428416 = 26372577
BaseRepresentation
bin10100101101010011000000
3101012210101110
4110231103000
52342202131
6312203320
764066200
oct24552300
911183343
105428416
1130784a4
121999540
131180aa6
14a14400
15723646
hex52d4c0

5428416 has 84 divisors (see below), whose sum is σ = 16736568. Its totient is φ = 1548288.

The previous prime is 5428403. The next prime is 5428421. The reversal of 5428416 is 6148245.

It is a tau number, because it is divible by the number of its divisors (84).

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, 9120 + ... + 9696.

Almost surely, 25428416 is an apocalyptic number.

5428416 is a gapful number since it is divisible by the number (56) 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 5428416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8368284).

5428416 is an abundant number, since it is smaller than the sum of its proper divisors (11308152).

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

5428416 is a wasteful number, since it uses less digits than its factorization.

5428416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 589 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The square root of 5428416 is about 2329.8961350240. The cubic root of 5428416 is about 175.7482626949.

The spelling of 5428416 in words is "five million, four hundred twenty-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 147 168 192 196 224 294 336 392 448 577 588 672 784 1154 1176 1344 1568 1731 2308 2352 3136 3462 4039 4616 4704 6924 8078 9232 9408 12117 13848 16156 18464 24234 27696 28273 32312 36928 48468 55392 56546 64624 84819 96936 110784 113092 129248 169638 193872 226184 258496 339276 387744 452368 678552 775488 904736 1357104 1809472 2714208 5428416