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2496096 = 2536107
BaseRepresentation
bin1001100001011001100000
311200211000000
421201121200
51114333341
6125300000
730134151
oct11413140
94624000
102496096
111455399
12a04600
136951a5
1448d928
153448b6
hex261660

2496096 has 84 divisors (see below), whose sum is σ = 7436772. Its totient is φ = 824256.

The previous prime is 2496083. The next prime is 2496097. The reversal of 2496096 is 6906942.

2496096 is a `hidden beast` number, since 2 + 49 + 609 + 6 = 666.

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 self number, because there is not a number n which added to its sum of digits gives 2496096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2496097) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 23275 + ... + 23381.

It is an arithmetic number, because the mean of its divisors is an integer number (88533).

22496096 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 2496096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3718386).

2496096 is an abundant number, since it is smaller than the sum of its proper divisors (4940676).

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

2496096 is an equidigital number, since it uses as much as digits as its factorization.

2496096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 2496096 is about 1579.9037945394. The cubic root of 2496096 is about 135.6501967811.

The spelling of 2496096 in words is "two million, four hundred ninety-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 107 108 144 162 214 216 243 288 321 324 428 432 486 642 648 729 856 864 963 972 1284 1296 1458 1712 1926 1944 2568 2592 2889 2916 3424 3852 3888 5136 5778 5832 7704 7776 8667 10272 11556 11664 15408 17334 23112 23328 26001 30816 34668 46224 52002 69336 78003 92448 104004 138672 156006 208008 277344 312012 416016 624024 832032 1248048 2496096