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1378231872 = 26343971721
BaseRepresentation
bin101001000100110…
…0010011001000000
310120001101102200220
41102021202121000
510310311404442
6344432143040
746103530503
oct12211423100
93501342626
101378231872
11647a81006
12325697a80
1318c6c9624
14d108713a
1580ee4eec
hex52262640

1378231872 has 112 divisors (see below), whose sum is σ = 3772034112. Its totient is φ = 443842560.

The previous prime is 1378231793. The next prime is 1378231889. The reversal of 1378231872 is 2781328731.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 799972 + ... + 801692.

It is an arithmetic number, because the mean of its divisors is an integer number (33678876).

Almost surely, 21378231872 is an apocalyptic number.

1378231872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1378231872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1886017056).

1378231872 is an abundant number, since it is smaller than the sum of its proper divisors (2393802240).

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

1378231872 is a wasteful number, since it uses less digits than its factorization.

1378231872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1876 (or 1866 counting only the distinct ones).

The product of its digits is 112896, while the sum is 42.

The square root of 1378231872 is about 37124.5454113582. The cubic root of 1378231872 is about 1112.8605901259.

It can be divided in two parts, 13782 and 31872, that added together give a palindrome (45654).

The spelling of 1378231872 in words is "one billion, three hundred seventy-eight million, two hundred thirty-one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 97 129 172 192 194 258 291 344 388 516 582 688 776 1032 1164 1376 1552 1721 2064 2328 2752 3104 3442 4128 4171 4656 5163 6208 6884 8256 8342 9312 10326 12513 13768 16684 18624 20652 25026 27536 33368 41304 50052 55072 66736 74003 82608 100104 110144 133472 148006 165216 166937 200208 222009 266944 296012 330432 333874 400416 444018 500811 592024 667748 800832 888036 1001622 1184048 1335496 1776072 2003244 2368096 2670992 3552144 4006488 4736192 5341984 7104288 7178291 8012976 10683968 14208576 14356582 16025952 21534873 28713164 32051904 43069746 57426328 86139492 114852656 172278984 229705312 344557968 459410624 689115936 1378231872