Search a number
-
+
5375401024 = 267232917989
BaseRepresentation
bin1010000000110011…
…00001110001000000
3111212121202122221211
411000121201301000
542002100313044
62245221255504
7250131104050
oct50031416100
914777678854
105375401024
112309301394
121060264594
13678869686
1438dca1560
15216dab634
hex140661c40

5375401024 has 112 divisors (see below), whose sum is σ = 13160044800. Its totient is φ = 2127476736.

The previous prime is 5375401019. The next prime is 5375401027. The reversal of 5375401024 is 4201045735.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (5375401027) 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, 289822 + ... + 307810.

It is an arithmetic number, because the mean of its divisors is an integer number (117500400).

Almost surely, 25375401024 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 5375401024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6580022400).

5375401024 is an abundant number, since it is smaller than the sum of its proper divisors (7784643776).

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

5375401024 is a wasteful number, since it uses less digits than its factorization.

5375401024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18060 (or 18050 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 31.

The square root of 5375401024 is about 73317.1264030445. The cubic root of 5375401024 is about 1751.7425933489.

Adding to 5375401024 its reverse (4201045735), we get a palindrome (9576446759).

The spelling of 5375401024 in words is "five billion, three hundred seventy-five million, four hundred one thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 23 28 29 32 46 56 58 64 92 112 116 161 184 203 224 232 322 368 406 448 464 644 667 736 812 928 1288 1334 1472 1624 1856 2576 2668 3248 4669 5152 5336 6496 9338 10304 10672 12992 17989 18676 21344 35978 37352 42688 71956 74704 125923 143912 149408 251846 287824 298816 413747 503692 521681 575648 827494 1007384 1043362 1151296 1654988 2014768 2086724 2896229 3309976 3651767 4029536 4173448 5792458 6619952 7303534 8059072 8346896 11584916 11998663 13239904 14607068 16693792 23169832 23997326 26479808 29214136 33387584 46339664 47994652 58428272 83990641 92679328 95989304 116856544 167981282 185358656 191978608 233713088 335962564 383957216 671925128 767914432 1343850256 2687700512 5375401024