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1468385248 = 251117324113
BaseRepresentation
bin101011110000101…
…1100011111100000
310210100000200212211
41113201130133200
511001401311443
6401412331504
751250032361
oct12741343740
93710020784
101468385248
11693957630
1234b913b94
131a52a3315
14dd033b68
1588da219d
hex5785c7e0

1468385248 has 48 divisors (see below), whose sum is σ = 3172052016. Its totient is φ = 663562240.

The previous prime is 1468385239. The next prime is 1468385273. The reversal of 1468385248 is 8425838641.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48840 + ... + 72952.

It is an arithmetic number, because the mean of its divisors is an integer number (66084417).

Almost surely, 21468385248 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 1468385248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1586026008).

1468385248 is an abundant number, since it is smaller than the sum of its proper divisors (1703666768).

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

1468385248 is a wasteful number, since it uses less digits than its factorization.

1468385248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24307 (or 24299 counting only the distinct ones).

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

The square root of 1468385248 is about 38319.5152370173. The cubic root of 1468385248 is about 1136.6148807065.

The spelling of 1468385248 in words is "one billion, four hundred sixty-eight million, three hundred eighty-five thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 173 176 346 352 692 1384 1903 2768 3806 5536 7612 15224 24113 30448 48226 60896 96452 192904 265243 385808 530486 771616 1060972 2121944 4171549 4243888 8343098 8487776 16686196 33372392 45887039 66744784 91774078 133489568 183548156 367096312 734192624 1468385248