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5438177536 = 281124192
BaseRepresentation
bin1010001000010010…
…00000000100000000
3112000222220001010211
411010021000010000
542114133140121
62255343003504
7251522514001
oct50411000400
915028801124
105438177536
112340789300
121079299594
1368887933c
143983631a8
1521c65bce1
hex144240100

5438177536 has 81 divisors (see below), whose sum is σ = 11960196703. Its totient is φ = 2465999360.

The previous prime is 5438177509. The next prime is 5438177561. The reversal of 5438177536 is 6357718345.

The square root of 5438177536 is 73744.

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

It is a Duffinian number.

Its product of digits (2116800) is a multiple of the sum of its prime divisors (432).

It is a self number, because there is not a number n which added to its sum of digits gives 5438177536.

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, 12978735 + ... + 12979153.

Almost surely, 25438177536 is an apocalyptic number.

5438177536 is the 73744-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5438177536

5438177536 is an abundant number, since it is smaller than the sum of its proper divisors (6522019167).

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

5438177536 is an frugal number, since it uses more digits than its factorization.

5438177536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 432 counting only the distinct ones).

The product of its digits is 2116800, while the sum is 49.

The cubic root of 5438177536 is about 1758.5354483049.

Multiplying 5438177536 by its sum of digits (49), we get a square (266470699264 = 5162082).

The spelling of 5438177536 in words is "five billion, four hundred thirty-eight million, one hundred seventy-seven thousand, five hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 419 484 704 838 968 1408 1676 1936 2816 3352 3872 4609 6704 7744 9218 13408 15488 18436 26816 30976 36872 50699 53632 73744 101398 107264 147488 175561 202796 294976 351122 405592 589952 702244 811184 1179904 1404488 1622368 1931171 2808976 3244736 3862342 5617952 6489472 7724684 11235904 12978944 15449368 21242881 22471808 30898736 42485762 44943616 61797472 84971524 123594944 169943048 247189888 339886096 494379776 679772192 1359544384 2719088768 5438177536