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1238884248 = 2337217311999
BaseRepresentation
bin100100111010111…
…1101111110011000
310012100011211200210
41021311331332120
510014123243443
6322533331120
742462225300
oct11165757630
93170154623
101238884248
11586355088
122a6a96aa0
1316988a204
14ba772600
1573b6bc33
hex49d7df98

1238884248 has 192 divisors, whose sum is σ = 3939840000. Its totient is φ = 322237440.

The previous prime is 1238884243. The next prime is 1238884253. The reversal of 1238884248 is 8424888321.

It is an interprime number because it is at equal distance from previous prime (1238884243) and next prime (1238884253).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1238884197 and 1238884206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1238884243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 618753 + ... + 620751.

It is an arithmetic number, because the mean of its divisors is an integer number (20520000).

Almost surely, 21238884248 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 1238884248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1969920000).

1238884248 is an abundant number, since it is smaller than the sum of its proper divisors (2700955752).

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

1238884248 is a wasteful number, since it uses less digits than its factorization.

1238884248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2070 (or 2059 counting only the distinct ones).

The product of its digits is 786432, while the sum is 48.

The square root of 1238884248 is about 35197.7875441057. The cubic root of 1238884248 is about 1074.0147447944.

The spelling of 1238884248 in words is "one billion, two hundred thirty-eight million, eight hundred eighty-four thousand, two hundred forty-eight".