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1348153752 = 233115106643
BaseRepresentation
bin101000001011011…
…0011000110011000
310110221210022021110
41100112303012120
510230111410002
6341435340320
745260055261
oct12026630630
93427708243
101348153752
11631aa7960
123175b16a0
131863c7c1a
14cb097968
157d552e6c
hex505b3198

1348153752 has 32 divisors (see below), whose sum is σ = 3676783680. Its totient is φ = 408531360.

The previous prime is 1348153693. The next prime is 1348153783. The reversal of 1348153752 is 2573518431.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1348153752.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2553058 + ... + 2553585.

It is an arithmetic number, because the mean of its divisors is an integer number (114899490).

Almost surely, 21348153752 is an apocalyptic number.

1348153752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1348153752 is an abundant number, since it is smaller than the sum of its proper divisors (2328629928).

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

1348153752 is a wasteful number, since it uses less digits than its factorization.

1348153752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5106663 (or 5106659 counting only the distinct ones).

The product of its digits is 100800, while the sum is 39.

The square root of 1348153752 is about 36717.2132929502. The cubic root of 1348153752 is about 1104.7053948689.

The spelling of 1348153752 in words is "one billion, three hundred forty-eight million, one hundred fifty-three thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 5106643 10213286 15319929 20426572 30639858 40853144 56173073 61279716 112346146 122559432 168519219 224692292 337038438 449384584 674076876 1348153752