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538054416 = 243219332
BaseRepresentation
bin100000000100100…
…000111100010000
31101111102222220100
4200010200330100
52100220220131
6125220212400
716222246524
oct4004407420
91344388810
10538054416
11256799279
1213023a100
138761a1c3
145165dd84
15323837e6
hex20120f10

538054416 has 45 divisors (see below), whose sum is σ = 1506584469. Its totient is φ = 179258688.

The previous prime is 538054381. The next prime is 538054459. The reversal of 538054416 is 614450835.

It is a happy number.

The square root of 538054416 is 23196.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 366339600 + 171714816 = 19140^2 + 13104^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 277386 + ... + 279318.

Almost surely, 2538054416 is an apocalyptic number.

538054416 is the 23196-th square number.

It is an amenable number.

538054416 is an abundant number, since it is smaller than the sum of its proper divisors (968530053).

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

538054416 is an equidigital number, since it uses as much as digits as its factorization.

538054416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3880 (or 1938 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The cubic root of 538054416 is about 813.3461215105.

Multiplying 538054416 by its sum of digits (36), we get a square (19369958976 = 1391762).

538054416 divided by its sum of digits (36) gives a square (14945956 = 38662).

Multiplying 538054416 by its product of nonzero digits (57600), we get a square (30991934361600 = 55670402).

The spelling of 538054416 in words is "five hundred thirty-eight million, fifty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1933 3866 5799 7732 11598 15464 17397 23196 30928 34794 46392 69588 92784 139176 278352 3736489 7472978 11209467 14945956 22418934 29891912 33628401 44837868 59783824 67256802 89675736 134513604 179351472 269027208 538054416