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1386488144 = 242931412351
BaseRepresentation
bin101001010100100…
…0010000101010000
310120121220220011202
41102221002011100
510314420110034
6345325130332
746233645326
oct12251020520
93517826152
101386488144
11651700078
123283b99a8
1319132a5b2
14d21d5d16
1581ac647e
hex52a42150

1386488144 has 80 divisors (see below), whose sum is σ = 2939811840. Its totient is φ = 631680000.

The previous prime is 1386488143. The next prime is 1386488177. The reversal of 1386488144 is 4418846831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1386488143) 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, 588569 + ... + 590919.

It is an arithmetic number, because the mean of its divisors is an integer number (36747648).

Almost surely, 21386488144 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 1386488144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1469905920).

1386488144 is an abundant number, since it is smaller than the sum of its proper divisors (1553323696).

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

1386488144 is a wasteful number, since it uses less digits than its factorization.

1386488144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2460 (or 2454 counting only the distinct ones).

The product of its digits is 589824, while the sum is 47.

The square root of 1386488144 is about 37235.5763215772. The cubic root of 1386488144 is about 1115.0783576214.

The spelling of 1386488144 in words is "one billion, three hundred eighty-six million, four hundred eighty-eight thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 29 31 41 58 62 82 116 124 164 232 248 328 464 496 656 899 1189 1271 1798 2351 2378 2542 3596 4702 4756 5084 7192 9404 9512 10168 14384 18808 19024 20336 36859 37616 68179 72881 73718 96391 136358 145762 147436 192782 272716 291524 294872 385564 545432 583048 589744 771128 1090864 1166096 1542256 2113549 2795339 2988121 4227098 5590678 5976242 8454196 11181356 11952484 16908392 22362712 23904968 33816784 44725424 47809936 86655509 173311018 346622036 693244072 1386488144