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1348824568 = 237213299127
BaseRepresentation
bin101000001100101…
…0110110111111000
310111000001101110111
41100121112313320
510230244341233
6341501554104
745265551100
oct12031266770
93430041414
101348824568
11632415953
12317875934
131865a1360
14cb1d0200
157d636acd
hex50656df8

1348824568 has 96 divisors (see below), whose sum is σ = 3277864800. Its totient is φ = 515144448.

The previous prime is 1348824551. The next prime is 1348824593. The reversal of 1348824568 is 8654288431.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143221 + ... + 152347.

It is an arithmetic number, because the mean of its divisors is an integer number (34144425).

Almost surely, 21348824568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1348824568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1638932400).

1348824568 is an abundant number, since it is smaller than the sum of its proper divisors (1929040232).

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

1348824568 is a wasteful number, since it uses less digits than its factorization.

1348824568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9189 (or 9178 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 49.

The square root of 1348824568 is about 36726.3470549414. The cubic root of 1348824568 is about 1104.8885913764. Note that the first 3 decimals are identical.

The spelling of 1348824568 in words is "one billion, three hundred forty-eight million, eight hundred twenty-four thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 29 49 52 56 58 91 98 104 116 182 196 203 232 364 377 392 406 637 728 754 812 1274 1421 1508 1624 2548 2639 2842 3016 5096 5278 5684 9127 10556 11368 18254 18473 21112 36508 36946 63889 73016 73892 118651 127778 147784 237302 255556 264683 447223 474604 511112 529366 830557 894446 949208 1058732 1661114 1788892 1852781 2117464 3322228 3440879 3577784 3705562 5813899 6644456 6881758 7411124 11627798 12969467 13763516 14822248 23255596 24086153 25938934 27527032 46511192 48172306 51877868 96344612 103755736 168603071 192689224 337206142 674412284 1348824568