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5411252440 = 23511194315053
BaseRepresentation
bin1010000101000100…
…10010100011011000
3111222010020002212001
411002202102203120
542040240034230
62252541530344
7251044613116
oct50242224330
914863202761
105411252440
112327569060
1210702739b4
1368310cb29
14394954ab6
1521a0de0ca
hex1428928d8

5411252440 has 128 divisors (see below), whose sum is σ = 14307321600. Its totient is φ = 1820689920.

The previous prime is 5411252423. The next prime is 5411252443. The reversal of 5411252440 is 442521145.

It is a junction number, because it is equal to n+sod(n) for n = 5411252399 and 5411252408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5411252443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 351954 + ... + 367006.

It is an arithmetic number, because the mean of its divisors is an integer number (111775950).

Almost surely, 25411252440 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 5411252440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7153660800).

5411252440 is an abundant number, since it is smaller than the sum of its proper divisors (8896069160).

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

5411252440 is a wasteful number, since it uses less digits than its factorization.

5411252440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15137 (or 15133 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

The square root of 5411252440 is about 73561.2155962638. The cubic root of 5411252440 is about 1755.6284024381.

Adding to 5411252440 its reverse (442521145), we get a palindrome (5853773585).

The spelling of 5411252440 in words is "five billion, four hundred eleven million, two hundred fifty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 43 44 55 76 86 88 95 110 152 172 190 209 215 220 344 380 418 430 440 473 760 817 836 860 946 1045 1634 1672 1720 1892 2090 2365 3268 3784 4085 4180 4730 6536 8170 8360 8987 9460 15053 16340 17974 18920 30106 32680 35948 44935 60212 71896 75265 89870 120424 150530 165583 179740 286007 301060 331166 359480 572014 602120 647279 662332 827915 1144028 1294558 1324664 1430035 1655830 2288056 2589116 2860070 3146077 3236395 3311660 5178232 5720140 6292154 6472790 6623320 7120069 11440280 12298301 12584308 12945580 14240138 15730385 24596602 25168616 25891160 28480276 31460770 35600345 49193204 56960552 61491505 62921540 71200690 98386408 122983010 125843080 135281311 142401380 245966020 270562622 284802760 491932040 541125244 676406555 1082250488 1352813110 2705626220 5411252440