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4290528 = 2531117239
BaseRepresentation
bin10000010111011111100000
322001222111110
4100113133200
52044244103
6231543320
751316554
oct20273740
98058443
104290528
1124705a0
12152ab40
13b72b98
147d9864
1559b403
hex4177e0

4290528 has 96 divisors (see below), whose sum is σ = 13063680. Its totient is φ = 1218560.

The previous prime is 4290499. The next prime is 4290529. The reversal of 4290528 is 8250924.

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

It is a junction number, because it is equal to n+sod(n) for n = 4290495 and 4290504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4290529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17833 + ... + 18071.

It is an arithmetic number, because the mean of its divisors is an integer number (136080).

Almost surely, 24290528 is an apocalyptic number.

4290528 is a gapful number since it is divisible by the number (48) 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 4290528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6531840).

4290528 is an abundant number, since it is smaller than the sum of its proper divisors (8773152).

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

4290528 is a wasteful number, since it uses less digits than its factorization.

4290528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 4290528 is about 2071.3589742003. The cubic root of 4290528 is about 162.4938443428.

The spelling of 4290528 in words is "four million, two hundred ninety thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 66 68 88 96 102 132 136 176 187 204 239 264 272 352 374 408 478 528 544 561 717 748 816 956 1056 1122 1434 1496 1632 1912 2244 2629 2868 2992 3824 4063 4488 5258 5736 5984 7648 7887 8126 8976 10516 11472 12189 15774 16252 17952 21032 22944 24378 31548 32504 42064 44693 48756 63096 65008 84128 89386 97512 126192 130016 134079 178772 195024 252384 268158 357544 390048 536316 715088 1072632 1430176 2145264 4290528