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4024432104 = 23371119114617
BaseRepresentation
bin1110111111011111…
…1111010111101000
3101101110200022222220
43233313333113220
531220223311404
61503201314040
7201505052130
oct35767772750
911343608886
104024432104
111785761450
12943935920
134c19c7294
142a26b3ac0
1518849e4d9
hexefdff5e8

4024432104 has 128 divisors (see below), whose sum is σ = 13203993600. Its totient is φ = 990282240.

The previous prime is 4024432103. The next prime is 4024432147. The reversal of 4024432104 is 4012344204.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (4024432103) 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, 22197 + ... + 92420.

It is an arithmetic number, because the mean of its divisors is an integer number (103156200).

Almost surely, 24024432104 is an apocalyptic number.

4024432104 is a gapful number since it is divisible by the number (44) 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 4024432104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6601996800).

4024432104 is an abundant number, since it is smaller than the sum of its proper divisors (9179561496).

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

4024432104 is a wasteful number, since it uses less digits than its factorization.

4024432104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114663 (or 114659 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 4024432104 is about 63438.4118968941. The cubic root of 4024432104 is about 1590.6264562030.

Adding to 4024432104 its reverse (4012344204), we get a palindrome (8036776308).

The spelling of 4024432104 in words is "four billion, twenty-four million, four hundred thirty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 11 12 14 19 21 22 24 28 33 38 42 44 56 57 66 76 77 84 88 114 132 133 152 154 168 209 228 231 264 266 308 399 418 456 462 532 616 627 798 836 924 1064 1254 1463 1596 1672 1848 2508 2926 3192 4389 5016 5852 8778 11704 17556 35112 114617 229234 343851 458468 687702 802319 916936 1260787 1375404 1604638 2177723 2406957 2521574 2750808 3209276 3782361 4355446 4813914 5043148 6418552 6533169 7564722 8710892 8825509 9627828 10086296 13066338 15129444 15244061 17421784 17651018 19255656 23954953 26132676 26476527 30258888 30488122 35302036 45732183 47909906 52265352 52953054 60976244 70604072 71864859 91464366 95819812 105906108 121952488 143729718 167684671 182928732 191639624 211812216 287459436 335369342 365857464 503054013 574918872 670738684 1006108026 1341477368 2012216052 4024432104