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5387141328 = 243232534003
BaseRepresentation
bin1010000010001100…
…10100000011010000
3111220102212010121220
411001012110003100
542013102010303
62250321045040
7250332642252
oct50106240320
914812763556
105387141328
1123149a0018
121064186780
1367b11a3ba
14391679cd2
15217e2a053
hex1411940d0

5387141328 has 120 divisors (see below), whose sum is σ = 14826363552. Its totient is φ = 1684809984.

The previous prime is 5387141323. The next prime is 5387141359. The reversal of 5387141328 is 8231417835.

It is a self number, because there is not a number n which added to its sum of digits gives 5387141328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5387141323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1343775 + ... + 1347777.

Almost surely, 25387141328 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 5387141328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7413181776).

5387141328 is an abundant number, since it is smaller than the sum of its proper divisors (9439222224).

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

5387141328 is a wasteful number, since it uses less digits than its factorization.

5387141328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4113 (or 4084 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The square root of 5387141328 is about 73397.1479554894. The cubic root of 5387141328 is about 1753.0169811287.

The spelling of 5387141328 in words is "five billion, three hundred eighty-seven million, one hundred forty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 53 69 92 106 138 159 184 212 276 318 368 424 529 552 636 848 1058 1104 1219 1272 1587 2116 2438 2544 3174 3657 4003 4232 4876 6348 7314 8006 8464 9752 12009 12696 14628 16012 19504 24018 25392 28037 29256 32024 48036 56074 58512 64048 84111 92069 96072 112148 168222 184138 192144 212159 224296 276207 336444 368276 424318 448592 552414 636477 672888 736552 848636 1104828 1272954 1345776 1473104 1697272 2117587 2209656 2545908 3394544 4235174 4419312 4879657 5091816 6352761 8470348 9759314 10183632 12705522 14638971 16940696 19518628 25411044 29277942 33881392 39037256 50822088 58555884 78074512 101644176 112232111 117111768 224464222 234223536 336696333 448928444 673392666 897856888 1346785332 1795713776 2693570664 5387141328