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1468013448 = 2331119927943
BaseRepresentation
bin101011110000000…
…0001101110001000
310210022022210212110
41113200001232020
511001302412243
6401400342320
751243623406
oct12740015610
93708283773
101468013448
11693723260
1234b7749a0
131a51a3015
14dcd78476
1588d2be33
hex57801b88

1468013448 has 64 divisors (see below), whose sum is σ = 4023936000. Its totient is φ = 442601280.

The previous prime is 1468013441. The next prime is 1468013453. The reversal of 1468013448 is 8443108641.

It is not an unprimeable number, because it can be changed into a prime (1468013441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38565 + ... + 66507.

It is an arithmetic number, because the mean of its divisors is an integer number (62874000).

Almost surely, 21468013448 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 1468013448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2011968000).

1468013448 is an abundant number, since it is smaller than the sum of its proper divisors (2555922552).

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

1468013448 is a wasteful number, since it uses less digits than its factorization.

1468013448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28162 (or 28158 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 1468013448 is about 38314.6636159056. The cubic root of 1468013448 is about 1136.5189410600.

The spelling of 1468013448 in words is "one billion, four hundred sixty-eight million, thirteen thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 199 264 398 597 796 1194 1592 2189 2388 4378 4776 6567 8756 13134 17512 26268 27943 52536 55886 83829 111772 167658 223544 307373 335316 614746 670632 922119 1229492 1844238 2458984 3688476 5560657 7376952 11121314 16681971 22242628 33363942 44485256 61167227 66727884 122334454 133455768 183501681 244668908 367003362 489337816 734006724 1468013448