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2542122 = 2321137347
BaseRepresentation
bin1001101100101000101010
311210011010200
421230220222
51122321442
6130253030
730415302
oct11545052
94704120
102542122
111486a30
12a27176
136b011b
144a2602
1535334c
hex26ca2a

2542122 has 48 divisors (see below), whose sum is σ = 6188832. Its totient is φ = 747360.

The previous prime is 2542109. The next prime is 2542139. The reversal of 2542122 is 2212452.

2542122 is a `hidden beast` number, since 2 + 542 + 122 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2542095 and 2542104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7153 + ... + 7499.

It is an arithmetic number, because the mean of its divisors is an integer number (128934).

22542122 is an apocalyptic number.

2542122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2542122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3094416).

2542122 is an abundant number, since it is smaller than the sum of its proper divisors (3646710).

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

2542122 is a wasteful number, since it uses less digits than its factorization.

2542122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 400 counting only the distinct ones).

The product of its digits is 320, while the sum is 18.

The square root of 2542122 is about 1594.4033366749. The cubic root of 2542122 is about 136.4788841466.

Adding to 2542122 its reverse (2212452), we get a palindrome (4754574).

The spelling of 2542122 in words is "two million, five hundred forty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 198 222 333 347 407 666 694 814 1041 1221 2082 2442 3123 3663 3817 6246 7326 7634 11451 12839 22902 25678 34353 38517 68706 77034 115551 141229 231102 282458 423687 847374 1271061 2542122