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1386402444 = 2232744912253
BaseRepresentation
bin101001010100010…
…1101001010001100
310120121202112121200
41102220231022030
510314404334234
6345323225500
746233140430
oct12250551214
93517675550
101386402444
11651651749
12328378290
131912ca59b
14d21b29c0
1581aaad99
hex52a2d28c

1386402444 has 72 divisors (see below), whose sum is σ = 4014410400. Its totient is φ = 395200512.

The previous prime is 1386402443. The next prime is 1386402463. The reversal of 1386402444 is 4442046831.

1386402444 is a `hidden beast` number, since 1 + 3 + 8 + 640 + 2 + 4 + 4 + 4 = 666.

It is a super-2 number, since 2×13864024442 = 3844223473458346272, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1386402399 and 1386402408.

It is not an unprimeable number, because it can be changed into a prime (1386402443) 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 23 ways as a sum of consecutive naturals, for example, 107022 + ... + 119274.

It is an arithmetic number, because the mean of its divisors is an integer number (55755700).

Almost surely, 21386402444 is an apocalyptic number.

1386402444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1386402444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2007205200).

1386402444 is an abundant number, since it is smaller than the sum of its proper divisors (2628007956).

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

1386402444 is a wasteful number, since it uses less digits than its factorization.

1386402444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12719 (or 12714 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 1386402444 is about 37234.4255226262. The cubic root of 1386402444 is about 1115.0553825038.

The spelling of 1386402444 in words is "one billion, three hundred eighty-six million, four hundred two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 449 898 1347 1796 2694 3143 4041 5388 6286 8082 9429 12253 12572 16164 18858 24506 28287 36759 37716 49012 56574 73518 85771 110277 113148 147036 171542 220554 257313 343084 441108 514626 771939 1029252 1543878 3087756 5501597 11003194 16504791 22006388 33009582 38511179 49514373 66019164 77022358 99028746 115533537 154044716 198057492 231067074 346600611 462134148 693201222 1386402444