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1385319936 = 293711131753
BaseRepresentation
bin101001010010010…
…0100111000000000
310120112201112200210
41102210210320000
510314120214221
6345244114120
746221011430
oct12244447000
93515645623
101385319936
11650a82410
12327b35940
1319100b950
14d1db02c0
1581945276
hex52924e00

1385319936 has 640 divisors, whose sum is σ = 5345657856. Its totient is φ = 306708480.

The previous prime is 1385319911. The next prime is 1385319959. The reversal of 1385319936 is 6399135831.

It is a super-2 number, since 2×13853199362 = 3838222650158088192, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26138086 + ... + 26138138.

Almost surely, 21385319936 is an apocalyptic number.

1385319936 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 1385319936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2672828928).

1385319936 is an abundant number, since it is smaller than the sum of its proper divisors (3960337920).

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

1385319936 is a wasteful number, since it uses less digits than its factorization.

1385319936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 106 counting only the distinct ones).

The product of its digits is 524880, while the sum is 48.

The square root of 1385319936 is about 37219.8862975157. The cubic root of 1385319936 is about 1114.7650938575.

The spelling of 1385319936 in words is "one billion, three hundred eighty-five million, three hundred nineteen thousand, nine hundred thirty-six".