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1389201984 = 263215532
BaseRepresentation
bin101001011001101…
…1000101001000000
310120211000202212100
41102303120221000
510321113430414
6345503230400
746266010362
oct12263305100
93524022770
101389201984
11653194015
123292a8400
13191a6a911
14d2700d32
1581e60609
hex52cd8a40

1389201984 has 63 divisors (see below), whose sum is σ = 3984462313. Its totient is φ = 462769152.

The previous prime is 1389201949. The next prime is 1389201991. The reversal of 1389201984 is 4891029831.

The square root of 1389201984 is 37272.

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., 141134400 + 1248067584 = 11880^2 + 35328^2 .

It is a Duffinian number.

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, 893752 + ... + 895304.

Almost surely, 21389201984 is an apocalyptic number.

1389201984 is the 37272-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1389201984

1389201984 is an abundant number, since it is smaller than the sum of its proper divisors (2595260329).

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

1389201984 is an frugal number, since it uses more digits than its factorization.

1389201984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3124 (or 1558 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The cubic root of 1389201984 is about 1115.8054156448.

The spelling of 1389201984 in words is "one billion, three hundred eighty-nine million, two hundred one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 1553 3106 4659 6212 9318 12424 13977 18636 24848 27954 37272 49696 55908 74544 99392 111816 149088 223632 298176 447264 894528 2411809 4823618 7235427 9647236 14470854 19294472 21706281 28941708 38588944 43412562 57883416 77177888 86825124 115766832 154355776 173650248 231533664 347300496 463067328 694600992 1389201984