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4240403040 = 253567713049
BaseRepresentation
bin1111110010111111…
…0110101001100000
3101221112001210102110
43330233312221200
532141020344130
61540434315320
7210036555036
oct37457665140
911845053373
104240403040
111886662625
129a4128b40
13527683b33
142c3252556
1519c410ab0
hexfcbf6a60

4240403040 has 96 divisors (see below), whose sum is σ = 13378024800. Its totient is φ = 1129017344.

The previous prime is 4240403029. The next prime is 4240403047. The reversal of 4240403040 is 403040424.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 4240402998 and 4240403016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4240403047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 318436 + ... + 331484.

It is an arithmetic number, because the mean of its divisors is an integer number (139354425).

Almost surely, 24240403040 is an apocalyptic number.

4240403040 is a gapful number since it is divisible by the number (40) 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 4240403040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6689012400).

4240403040 is an abundant number, since it is smaller than the sum of its proper divisors (9137621760).

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

4240403040 is a wasteful number, since it uses less digits than its factorization.

4240403040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13744 (or 13736 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 4240403040 is about 65118.3771296552. The cubic root of 4240403040 is about 1618.5857494183.

Adding to 4240403040 its reverse (403040424), we get a palindrome (4643443464).

The spelling of 4240403040 in words is "four billion, two hundred forty million, four hundred three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 677 1354 2031 2708 3385 4062 5416 6770 8124 10155 10832 13049 13540 16248 20310 21664 26098 27080 32496 39147 40620 52196 54160 64992 65245 78294 81240 104392 108320 130490 156588 162480 195735 208784 260980 313176 324960 391470 417568 521960 626352 782940 1043920 1252704 1565880 2087840 3131760 6263520 8834173 17668346 26502519 35336692 44170865 53005038 70673384 88341730 106010076 132512595 141346768 176683460 212020152 265025190 282693536 353366920 424040304 530050380 706733840 848080608 1060100760 1413467680 2120201520 4240403040