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1038888252 = 2232107269701
BaseRepresentation
bin111101111011000…
…010110100111100
32200101211222202200
4331323002310330
54111423411002
6251030551500
734513255503
oct7573026474
92611758680
101038888252
11493475136
1224bb08590
1313730499c
149bd9183a
1561313b1c
hex3dec2d3c

1038888252 has 36 divisors (see below), whose sum is σ = 2650631256. Its totient is φ = 343058400.

The previous prime is 1038888211. The next prime is 1038888269. The reversal of 1038888252 is 2528888301.

1038888252 is a `hidden beast` number, since 10 + 388 + 8 + 8 + 252 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 1038888198 and 1038888207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 130999 + ... + 138702.

It is an arithmetic number, because the mean of its divisors is an integer number (73628646).

Almost surely, 21038888252 is an apocalyptic number.

1038888252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1038888252 is an abundant number, since it is smaller than the sum of its proper divisors (1611743004).

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

1038888252 is a wasteful number, since it uses less digits than its factorization.

1038888252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269818 (or 269813 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The square root of 1038888252 is about 32231.7894631992. The cubic root of 1038888252 is about 1012.7982565314.

The spelling of 1038888252 in words is "one billion, thirty-eight million, eight hundred eighty-eight thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 107 214 321 428 642 963 1284 1926 3852 269701 539402 809103 1078804 1618206 2427309 3236412 4854618 9709236 28858007 57716014 86574021 115432028 173148042 259722063 346296084 519444126 1038888252