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4024242040 = 2357131765033
BaseRepresentation
bin1110111111011101…
…0000111101111000
3101101110022200021111
43233313100331320
531220201221130
61503153250104
7201503331040
oct35767207570
911343280244
104024242040
111785641675
12943863934
134c195b910
142a2664720
1518846302a
hexefdd0f78

4024242040 has 128 divisors (see below), whose sum is σ = 11799768960. Its totient is φ = 1198669824.

The previous prime is 4024242017. The next prime is 4024242049. The reversal of 4024242040 is 402424204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4024242049) 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, 29364 + ... + 94396.

It is an arithmetic number, because the mean of its divisors is an integer number (92185695).

Almost surely, 24024242040 is an apocalyptic number.

4024242040 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 4024242040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5899884480).

4024242040 is an abundant number, since it is smaller than the sum of its proper divisors (7775526920).

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

4024242040 is a wasteful number, since it uses less digits than its factorization.

4024242040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65081 (or 65077 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

The square root of 4024242040 is about 63436.9138593611. The cubic root of 4024242040 is about 1590.6014153543.

Adding to 4024242040 its reverse (402424204), we get a palindrome (4426666244).

The spelling of 4024242040 in words is "four billion, twenty-four million, two hundred forty-two thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 17 20 26 28 34 35 40 52 56 65 68 70 85 91 104 119 130 136 140 170 182 221 238 260 280 340 364 442 455 476 520 595 680 728 884 910 952 1105 1190 1547 1768 1820 2210 2380 3094 3640 4420 4760 6188 7735 8840 12376 15470 30940 61880 65033 130066 260132 325165 455231 520264 650330 845429 910462 1105561 1300660 1690858 1820924 2211122 2276155 2601320 3381716 3641848 4227145 4422244 4552310 5527805 5918003 6763432 7738927 8454290 8844488 9104620 11055610 11836006 14372293 15477854 16908580 18209240 22111220 23672012 28744586 29590015 30955708 33817160 38694635 44222440 47344024 57489172 59180030 61911416 71861465 77389270 100606051 114978344 118360060 143722930 154778540 201212102 236720120 287445860 309557080 402424204 503030255 574891720 804848408 1006060510 2012121020 4024242040