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12575472 = 2437132879
BaseRepresentation
bin101111111110…
…001011110000
3212122220022020
4233332023300
511204403342
61125311440
7211614120
oct57761360
925586266
1012575472
11710a158
124265580
1327b3c10
141954c80
1511860ec
hexbfe2f0

12575472 has 80 divisors (see below), whose sum is σ = 39997440. Its totient is φ = 3315456.

The previous prime is 12575471. The next prime is 12575489. The reversal of 12575472 is 27457521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12575471) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2929 + ... + 5807.

It is an arithmetic number, because the mean of its divisors is an integer number (499968).

Almost surely, 212575472 is an apocalyptic number.

12575472 is a gapful number since it is divisible by the number (12) 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 12575472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19998720).

12575472 is an abundant number, since it is smaller than the sum of its proper divisors (27421968).

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

12575472 is a wasteful number, since it uses less digits than its factorization.

12575472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2910 (or 2904 counting only the distinct ones).

The product of its digits is 19600, while the sum is 33.

The square root of 12575472 is about 3546.1911961991. The cubic root of 12575472 is about 232.5455847722.

The spelling of 12575472 in words is "twelve million, five hundred seventy-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 624 728 1092 1456 2184 2879 4368 5758 8637 11516 17274 20153 23032 34548 37427 40306 46064 60459 69096 74854 80612 112281 120918 138192 149708 161224 224562 241836 261989 299416 322448 449124 483672 523978 598832 785967 898248 967344 1047956 1571934 1796496 2095912 3143868 4191824 6287736 12575472