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12042528 = 2531747157
BaseRepresentation
bin101101111100…
…000100100000
3211122211020120
4231330010200
511040330103
61110040240
7204234261
oct55740440
924584216
1012042528
116885803
124049080
132658474
141856968
1510cd253
hexb7c120

12042528 has 96 divisors (see below), whose sum is σ = 34401024. Its totient is φ = 3674112.

The previous prime is 12042517. The next prime is 12042551. The reversal of 12042528 is 82524021.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 12042498 and 12042507.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76626 + ... + 76782.

It is an arithmetic number, because the mean of its divisors is an integer number (358344).

Almost surely, 212042528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12042528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17200512).

12042528 is an abundant number, since it is smaller than the sum of its proper divisors (22358496).

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

12042528 is a wasteful number, since it uses less digits than its factorization.

12042528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 12042528 is about 3470.2345742039. The cubic root of 12042528 is about 229.2129874558.

Adding to 12042528 its reverse (82524021), we get a palindrome (94566549).

The spelling of 12042528 in words is "twelve million, forty-two thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 47 48 51 68 94 96 102 136 141 157 188 204 272 282 314 376 408 471 544 564 628 752 799 816 942 1128 1256 1504 1598 1632 1884 2256 2397 2512 2669 3196 3768 4512 4794 5024 5338 6392 7379 7536 8007 9588 10676 12784 14758 15072 16014 19176 21352 22137 25568 29516 32028 38352 42704 44274 59032 64056 76704 85408 88548 118064 125443 128112 177096 236128 250886 256224 354192 376329 501772 708384 752658 1003544 1505316 2007088 3010632 4014176 6021264 12042528