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2425696 = 25731317
BaseRepresentation
bin1001010000001101100000
311120020102121
421100031200
51110110241
6123554024
726422000
oct11201540
94506377
102425696
111407509
1298b914
1366c130
14472000
1532dad1
hex250360

2425696 has 96 divisors (see below), whose sum is σ = 6350400. Its totient is φ = 903168.

The previous prime is 2425693. The next prime is 2425697. The reversal of 2425696 is 6965242.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2425693) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142680 + ... + 142696.

It is an arithmetic number, because the mean of its divisors is an integer number (66150).

22425696 is an apocalyptic number.

2425696 is a gapful number since it is divisible by the number (26) 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 2425696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3175200).

2425696 is an abundant number, since it is smaller than the sum of its proper divisors (3924704).

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

2425696 is a wasteful number, since it uses less digits than its factorization.

2425696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 39 counting only the distinct ones).

The product of its digits is 25920, while the sum is 34.

The square root of 2425696 is about 1557.4646063394. The cubic root of 2425696 is about 134.3627211423.

The spelling of 2425696 in words is "two million, four hundred twenty-five thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 16 17 26 28 32 34 49 52 56 68 91 98 104 112 119 136 182 196 208 221 224 238 272 343 364 392 416 442 476 544 637 686 728 784 833 884 952 1274 1372 1456 1547 1568 1666 1768 1904 2548 2744 2912 3094 3332 3536 3808 4459 5096 5488 5831 6188 6664 7072 8918 10192 10829 10976 11662 12376 13328 17836 20384 21658 23324 24752 26656 35672 43316 46648 49504 71344 75803 86632 93296 142688 151606 173264 186592 303212 346528 606424 1212848 2425696