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1387250496 = 263319293147
BaseRepresentation
bin101001010101111…
…1100001101000000
310120200100121221000
41102223330031000
510320114003441
6345353332000
746243302042
oct12253741500
93520317830
101387250496
11652080915
12328707000
131915365a8
14d2353a92
1581bc72b6
hex52afc340

1387250496 has 448 divisors, whose sum is σ = 4681728000. Its totient is φ = 400619520.

The previous prime is 1387250443. The next prime is 1387250503. The reversal of 1387250496 is 6940527831.

1387250496 is a `hidden beast` number, since 138 + 7 + 2 + 504 + 9 + 6 = 666.

1387250496 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

1387250496 is strictly pandigital in base 10.

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, 29515945 + ... + 29515991.

It is a 1-persistent number, because it is pandigital, but 2⋅1387250496 = 2774500992 is not.

Almost surely, 21387250496 is an apocalyptic number.

1387250496 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 1387250496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2340864000).

1387250496 is an abundant number, since it is smaller than the sum of its proper divisors (3294477504).

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

1387250496 is a wasteful number, since it uses less digits than its factorization.

1387250496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1387250496 is about 37245.8117913947. The cubic root of 1387250496 is about 1115.2826931731.

The spelling of 1387250496 in words is "one billion, three hundred eighty-seven million, two hundred fifty thousand, four hundred ninety-six".