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1348757850 = 2352112812909
BaseRepresentation
bin101000001100100…
…0110100101011010
310110222220222221110
41100121012211122
510230240222400
6341500321150
745265152426
oct12031064532
93428828843
101348757850
1163237a810
123178431b6
13186579b8b
14cb1b3b86
157d621e50
hex5064695a

1348757850 has 96 divisors (see below), whose sum is σ = 3663247680. Its totient is φ = 325696000.

The previous prime is 1348757843. The next prime is 1348757873. The reversal of 1348757850 is 587578431.

It is a happy number.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1348757850.

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 47 ways as a sum of consecutive naturals, for example, 462196 + ... + 465104.

It is an arithmetic number, because the mean of its divisors is an integer number (38158830).

Almost surely, 21348757850 is an apocalyptic number.

1348757850 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1348757850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1831623840).

1348757850 is an abundant number, since it is smaller than the sum of its proper divisors (2314489830).

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

1348757850 is a wasteful number, since it uses less digits than its factorization.

1348757850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3216 (or 3211 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 48.

The square root of 1348757850 is about 36725.4387312119. The cubic root of 1348757850 is about 1104.8703737435.

The spelling of 1348757850 in words is "one billion, three hundred forty-eight million, seven hundred fifty-seven thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 150 165 275 281 330 550 562 825 843 1405 1650 1686 2810 2909 3091 4215 5818 6182 7025 8430 8727 9273 14050 14545 15455 17454 18546 21075 29090 30910 31999 42150 43635 46365 63998 72725 77275 87270 92730 95997 145450 154550 159995 191994 218175 231825 319990 436350 463650 479985 799975 817429 959970 1599950 1634858 2399925 2452287 4087145 4799850 4904574 8174290 8991719 12261435 17983438 20435725 24522870 26975157 40871450 44958595 53950314 61307175 89917190 122614350 134875785 224792975 269751570 449585950 674378925 1348757850