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2469896 = 23111317127
BaseRepresentation
bin1001011011000000001000
311122111001122
421123000020
51113014041
6124534412
726664602
oct11330010
94574048
102469896
111437740
129b1408
136862a0
14484172
1533bc4b
hex25b008

2469896 has 64 divisors (see below), whose sum is σ = 5806080. Its totient is φ = 967680.

The previous prime is 2469893. The next prime is 2469899. The reversal of 2469896 is 6989642.

It is an interprime number because it is at equal distance from previous prime (2469893) and next prime (2469899).

It is a super-2 number, since 2×24698962 = 12200772501632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a d-powerful number, because it can be written as 221 + 44 + 6 + 93 + 85 + 95 + 67 .

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2469893) 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, 19385 + ... + 19511.

It is an arithmetic number, because the mean of its divisors is an integer number (90720).

22469896 is an apocalyptic number.

2469896 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 2469896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2903040).

2469896 is an abundant number, since it is smaller than the sum of its proper divisors (3336184).

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

2469896 is a wasteful number, since it uses less digits than its factorization.

2469896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 170 counting only the distinct ones).

The product of its digits is 186624, while the sum is 44.

The square root of 2469896 is about 1571.5902773942. The cubic root of 2469896 is about 135.1739139476.

The spelling of 2469896 in words is "two million, four hundred sixty-nine thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 11 13 17 22 26 34 44 52 68 88 104 127 136 143 187 221 254 286 374 442 508 572 748 884 1016 1144 1397 1496 1651 1768 2159 2431 2794 3302 4318 4862 5588 6604 8636 9724 11176 13208 17272 18161 19448 23749 28067 36322 47498 56134 72644 94996 112268 145288 189992 224536 308737 617474 1234948 2469896