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4552416 = 253311479
BaseRepresentation
bin10001010111011011100000
322120021202000
4101113123200
52131134131
6241324000
753460231
oct21273340
98507660
104552416
11262a330
121636600
13c3514b
14867088
155edce6
hex4576e0

4552416 has 96 divisors (see below), whose sum is σ = 14515200. Its totient is φ = 1376640.

The previous prime is 4552409. The next prime is 4552417. The reversal of 4552416 is 6142554.

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

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4552416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4552417) 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, 9265 + ... + 9743.

It is an arithmetic number, because the mean of its divisors is an integer number (151200).

Almost surely, 24552416 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 4552416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7257600).

4552416 is an abundant number, since it is smaller than the sum of its proper divisors (9962784).

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

4552416 is a wasteful number, since it uses less digits than its factorization.

4552416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 495 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 4552416 is about 2133.6391447478. The cubic root of 4552416 is about 165.7349037253.

The spelling of 4552416 in words is "four million, five hundred fifty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 432 479 528 594 792 864 958 1056 1188 1437 1584 1916 2376 2874 3168 3832 4311 4752 5269 5748 7664 8622 9504 10538 11496 12933 15328 15807 17244 21076 22992 25866 31614 34488 42152 45984 47421 51732 63228 68976 84304 94842 103464 126456 137952 142263 168608 189684 206928 252912 284526 379368 413856 505824 569052 758736 1138104 1517472 2276208 4552416