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1388358048 = 253711613079
BaseRepresentation
bin101001011000000…
…1010100110100000
310120202102220012110
41102300022212200
510320404424143
6345433155320
746255564050
oct12260124640
93522386173
101388358048
11652767a50
12328b5bb40
1319183374c
14d2561560
1581d45533
hex52c0a9a0

1388358048 has 192 divisors, whose sum is σ = 4619704320. Its totient is φ = 354585600.

The previous prime is 1388358047. The next prime is 1388358053. The reversal of 1388358048 is 8408538831.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 1388357988 and 1388358006.

It is not an unprimeable number, because it can be changed into a prime (1388358047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 449373 + ... + 452451.

It is an arithmetic number, because the mean of its divisors is an integer number (24060960).

Almost surely, 21388358048 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 1388358048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2309852160).

1388358048 is an abundant number, since it is smaller than the sum of its proper divisors (3231346272).

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

1388358048 is a wasteful number, since it uses less digits than its factorization.

1388358048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3171 (or 3163 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The square root of 1388358048 is about 37260.6769664750. The cubic root of 1388358048 is about 1115.5794204040.

The spelling of 1388358048 in words is "one billion, three hundred eighty-eight million, three hundred fifty-eight thousand, forty-eight".