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538611264 = 26329672
BaseRepresentation
bin100000000110101…
…000111001000000
31101112111021202100
4200012220321000
52100341030024
6125240150400
716230056142
oct4006507100
91345437670
10538611264
11257039684
12130468400
13877837b9
1451766c92
15324437c9
hex201a8e40

538611264 has 63 divisors (see below), whose sum is σ = 1545430107. Its totient is φ = 179351424.

The previous prime is 538611251. The next prime is 538611277. The reversal of 538611264 is 462116835.

It is a happy number.

The square root of 538611264 is 23208.

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

538611264 is a `hidden beast` number, since 5 + 38 + 611 + 2 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (538611251) and next prime (538611277).

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, 556509 + ... + 557475.

Almost surely, 2538611264 is an apocalyptic number.

538611264 is the 23208-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 538611264

538611264 is an abundant number, since it is smaller than the sum of its proper divisors (1006818843).

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

538611264 is an frugal number, since it uses more digits than its factorization.

538611264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1952 (or 972 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The cubic root of 538611264 is about 813.6266098739.

Multiplying 538611264 by its sum of digits (36), we get a square (19390005504 = 1392482).

538611264 divided by its sum of digits (36) gives a square (14961424 = 38682).

The spelling of 538611264 in words is "five hundred thirty-eight million, six hundred eleven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 967 1934 2901 3868 5802 7736 8703 11604 15472 17406 23208 30944 34812 46416 61888 69624 92832 139248 185664 278496 556992 935089 1870178 2805267 3740356 5610534 7480712 8415801 11221068 14961424 16831602 22442136 29922848 33663204 44884272 59845696 67326408 89768544 134652816 179537088 269305632 538611264