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2542496 = 251131233
BaseRepresentation
bin1001101100101110100000
311210011122112
421230232200
51122324441
6130254452
730416345
oct11545640
94704575
102542496
111487240
12a27428
136b0348
144a27cc
153534eb
hex26cba0

2542496 has 48 divisors (see below), whose sum is σ = 5660928. Its totient is φ = 1113600.

The previous prime is 2542483. The next prime is 2542511. The reversal of 2542496 is 6942452.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10796 + ... + 11028.

It is an arithmetic number, because the mean of its divisors is an integer number (117936).

22542496 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 2542496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2830464).

2542496 is an abundant number, since it is smaller than the sum of its proper divisors (3118432).

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

2542496 is a wasteful number, since it uses less digits than its factorization.

2542496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 277 counting only the distinct ones).

The product of its digits is 17280, while the sum is 32.

The square root of 2542496 is about 1594.5206176152. The cubic root of 2542496 is about 136.4855767968.

The spelling of 2542496 in words is "two million, five hundred forty-two thousand, four hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 88 124 176 233 248 341 352 466 496 682 932 992 1364 1864 2563 2728 3728 5126 5456 7223 7456 10252 10912 14446 20504 28892 41008 57784 79453 82016 115568 158906 231136 317812 635624 1271248 2542496