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5412528 = 2433111767
BaseRepresentation
bin10100101001011010110000
3101011222121000
4110221122300
52341200103
6312002000
764001652
oct24513260
911158530
105412528
113067570
121990300
1311767a4
14a0c6d2
1571daa3
hex5296b0

5412528 has 160 divisors (see below), whose sum is σ = 18213120. Its totient is φ = 1520640.

The previous prime is 5412497. The next prime is 5412529. The reversal of 5412528 is 8252145.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (3200) is a multiple of the sum of its prime divisors (100).

It is not an unprimeable number, because it can be changed into a prime (5412529) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80751 + ... + 80817.

It is an arithmetic number, because the mean of its divisors is an integer number (113832).

Almost surely, 25412528 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 5412528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9106560).

5412528 is an abundant number, since it is smaller than the sum of its proper divisors (12800592).

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

5412528 is a wasteful number, since it uses less digits than its factorization.

5412528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 100 counting only the distinct ones).

The product of its digits is 3200, while the sum is 27.

The square root of 5412528 is about 2326.4840424985. The cubic root of 5412528 is about 175.5766339293.

The spelling of 5412528 in words is "five million, four hundred twelve thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 17 18 22 24 27 33 34 36 44 48 51 54 66 67 68 72 88 99 102 108 132 134 136 144 153 176 187 198 201 204 216 264 268 272 297 306 374 396 402 408 432 459 528 536 561 594 603 612 737 748 792 804 816 918 1072 1122 1139 1188 1206 1224 1474 1496 1584 1608 1683 1809 1836 2211 2244 2278 2376 2412 2448 2948 2992 3216 3366 3417 3618 3672 4422 4488 4556 4752 4824 5049 5896 6633 6732 6834 7236 7344 8844 8976 9112 9648 10098 10251 11792 12529 13266 13464 13668 14472 17688 18224 19899 20196 20502 25058 26532 26928 27336 28944 30753 35376 37587 39798 40392 41004 50116 53064 54672 61506 75174 79596 80784 82008 100232 106128 112761 123012 150348 159192 164016 200464 225522 246024 300696 318384 338283 451044 492048 601392 676566 902088 1353132 1804176 2706264 5412528