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1392230912 = 29172972
BaseRepresentation
bin101001011111011…
…1100001000000000
310121000201122202212
41102332330020000
510322402342122
6350052201252
746333524152
oct12276741000
93530648685
101392230912
11654972766
1232a309228
1319258b497
14d2c8cad2
158235cce2
hex52fbc200

1392230912 has 90 divisors (see below), whose sum is σ = 2985777927. Its totient is φ = 648413184.

The previous prime is 1392230911. The next prime is 1392230933. The reversal of 1392230912 is 2190322931.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 1022976256 + 369254656 = 31984^2 + 19216^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=26384.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1392230911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14352848 + ... + 14352944.

Almost surely, 21392230912 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 1392230912

1392230912 is an abundant number, since it is smaller than the sum of its proper divisors (1593547015).

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

1392230912 is an frugal number, since it uses more digits than its factorization.

1392230912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 32.

The square root of 1392230912 is about 37312.6106296517. The cubic root of 1392230912 is about 1116.6157707948.

Multiplying 1392230912 by its sum of digits (32), we get a square (44551389184 = 2110722).

1392230912 divided by its sum of digits (32) gives a square (43507216 = 65962).

Multiplying 1392230912 by its product of nonzero digits (5832), we get a square (8119490678784 = 28494722).

The spelling of 1392230912 in words is "one billion, three hundred ninety-two million, two hundred thirty thousand, nine hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 64 68 97 128 136 194 256 272 289 388 512 544 578 776 1088 1156 1552 1649 2176 2312 3104 3298 4352 4624 6208 6596 8704 9248 9409 12416 13192 18496 18818 24832 26384 28033 36992 37636 49664 52768 56066 73984 75272 105536 112132 147968 150544 159953 211072 224264 301088 319906 422144 448528 602176 639812 844288 897056 1204352 1279624 1794112 2408704 2559248 2719201 3588224 4817408 5118496 5438402 7176448 10236992 10876804 14352896 20473984 21753608 40947968 43507216 81895936 87014432 174028864 348057728 696115456 1392230912