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1385866416 = 243114635669
BaseRepresentation
bin101001010011010…
…1010010010110000
310120120202022022210
41102212222102300
510314240211131
6345303532120
746225445604
oct12246522260
93516668283
101385866416
11651315a50
1232815a040
131911705cc
14d20b3504
1581a02146
hex529aa4b0

1385866416 has 80 divisors (see below), whose sum is σ = 3914749440. Its totient is φ = 418978560.

The previous prime is 1385866411. The next prime is 1385866453. The reversal of 1385866416 is 6146685831.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1385866411) 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 15 ways as a sum of consecutive naturals, for example, 241630 + ... + 247298.

It is an arithmetic number, because the mean of its divisors is an integer number (48934368).

Almost surely, 21385866416 is an apocalyptic number.

1385866416 is a gapful number since it is divisible by the number (16) 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 1385866416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1957374720).

1385866416 is an abundant number, since it is smaller than the sum of its proper divisors (2528883024).

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

1385866416 is a wasteful number, since it uses less digits than its factorization.

1385866416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6154 (or 6148 counting only the distinct ones).

The product of its digits is 829440, while the sum is 48.

The square root of 1385866416 is about 37227.2268104945. The cubic root of 1385866416 is about 1114.9116584945.

The spelling of 1385866416 in words is "one billion, three hundred eighty-five million, eight hundred sixty-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 463 528 926 1389 1852 2778 3704 5093 5556 5669 7408 10186 11112 11338 15279 17007 20372 22224 22676 30558 34014 40744 45352 61116 62359 68028 81488 90704 122232 124718 136056 187077 244464 249436 272112 374154 498872 748308 997744 1496616 2624747 2993232 5249494 7874241 10498988 15748482 20997976 28872217 31496964 41995952 57744434 62993928 86616651 115488868 125987856 173233302 230977736 346466604 461955472 692933208 1385866416