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1387885248 = 263219294373
BaseRepresentation
bin101001010111001…
…0111001011000000
310120201112212122100
41102232113023000
510320244311443
6345415110400
746251554451
oct12256271300
93521485570
101387885248
11652474802
12328972400
131916c9499
14d247b128
1581ca03d3
hex52b972c0

1387885248 has 168 divisors, whose sum is σ = 4332884400. Its totient is φ = 423069696.

The previous prime is 1387885223. The next prime is 1387885249. The reversal of 1387885248 is 8425887831.

1387885248 is a `hidden beast` number, since 1 + 38 + 7 + 88 + 524 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1387885194 and 1387885203.

It is not an unprimeable number, because it can be changed into a prime (1387885249) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 315190 + ... + 319562.

Almost surely, 21387885248 is an apocalyptic number.

1387885248 is a gapful number since it is divisible by the number (18) 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 1387885248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2166442200).

1387885248 is an abundant number, since it is smaller than the sum of its proper divisors (2944999152).

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

1387885248 is a wasteful number, since it uses less digits than its factorization.

1387885248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4439 (or 4426 counting only the distinct ones).

The product of its digits is 3440640, while the sum is 54.

The square root of 1387885248 is about 37254.3319360313. The cubic root of 1387885248 is about 1115.4527705975.

The spelling of 1387885248 in words is "one billion, three hundred eighty-seven million, eight hundred eighty-five thousand, two hundred forty-eight".