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1248149084 = 227133428981
BaseRepresentation
bin100101001100101…
…0011111001011100
310012222121112122212
41022121103321130
510024011232314
6323504055552
742634043420
oct11231237134
93188545585
101248149084
11590602976
122aa0045b8
1316b782270
14bbaa4b80
157489be3e
hex4a653e5c

1248149084 has 24 divisors (see below), whose sum is σ = 2688321888. Its totient is φ = 493773120.

The previous prime is 1248149057. The next prime is 1248149087. The reversal of 1248149084 is 4809418421.

It is a happy number.

It is a super-3 number, since 3×12481490843 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1248149087) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1714127 + ... + 1714854.

It is an arithmetic number, because the mean of its divisors is an integer number (112013412).

Almost surely, 21248149084 is an apocalyptic number.

1248149084 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1248149084 is an abundant number, since it is smaller than the sum of its proper divisors (1440172804).

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

1248149084 is a wasteful number, since it uses less digits than its factorization.

1248149084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3429005 (or 3429003 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 41.

The square root of 1248149084 is about 35329.1534571662. The cubic root of 1248149084 is about 1076.6853920176.

The spelling of 1248149084 in words is "one billion, two hundred forty-eight million, one hundred forty-nine thousand, eighty-four".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 364 3428981 6857962 13715924 24002867 44576753 48005734 89153506 96011468 178307012 312037271 624074542 1248149084