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12485376 = 28325419
BaseRepresentation
bin101111101000…
…001100000000
3212111022201100
4233220030000
511144013001
61123334400
7211060341
oct57501400
925438640
1012485376
1170584a2
124221400
132781bc7
1419300c8
151169586
hexbe8300

12485376 has 54 divisors (see below), whose sum is σ = 36005060. Its totient is φ = 4161024.

The previous prime is 12485371. The next prime is 12485381. The reversal of 12485376 is 67358421.

It is an interprime number because it is at equal distance from previous prime (12485371) and next prime (12485381).

It is a super-2 number, since 2×124853762 = 311769227722752, which contains 22 as substring.

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 12485376.

It is not an unprimeable number, because it can be changed into a prime (12485371) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 406 + ... + 5013.

Almost surely, 212485376 is an apocalyptic number.

12485376 is a gapful number since it is divisible by the number (16) 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 12485376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18002530).

12485376 is an abundant number, since it is smaller than the sum of its proper divisors (23519684).

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

12485376 is an equidigital number, since it uses as much as digits as its factorization.

12485376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5441 (or 5424 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 12485376 is about 3533.4651547737. The cubic root of 12485376 is about 231.9889015698.

The spelling of 12485376 in words is "twelve million, four hundred eighty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 5419 10838 16257 21676 32514 43352 48771 65028 86704 97542 130056 173408 195084 260112 346816 390168 520224 693632 780336 1040448 1387264 1560672 2080896 3121344 4161792 6242688 12485376