Search a number
-
+
2606496 = 253191429
BaseRepresentation
bin1001111100010110100000
311220102102220
421330112200
51131401441
6131511040
731104054
oct11742640
94812386
102606496
111520332
12a58480
13703509
144bbc64
15367466
hex27c5a0

2606496 has 48 divisors (see below), whose sum is σ = 7207200. Its totient is φ = 822528.

The previous prime is 2606489. The next prime is 2606497. The reversal of 2606496 is 6946062.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (2606497) 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, 1110 + ... + 2538.

It is an arithmetic number, because the mean of its divisors is an integer number (150150).

22606496 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 2606496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3603600).

2606496 is an abundant number, since it is smaller than the sum of its proper divisors (4600704).

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

2606496 is a wasteful number, since it uses less digits than its factorization.

2606496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1461 (or 1453 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 2606496 is about 1614.4646171409. The cubic root of 2606496 is about 137.6213100221.

The spelling of 2606496 in words is "two million, six hundred six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1429 1824 2858 4287 5716 8574 11432 17148 22864 27151 34296 45728 54302 68592 81453 108604 137184 162906 217208 325812 434416 651624 868832 1303248 2606496