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4522421040 = 2435197731283
BaseRepresentation
bin1000011011000111…
…01010101100110000
3102200011201210101120
410031203222230300
533230214433130
62024431102240
7220032641664
oct41543525460
912604653346
104522421040
111a10874955
12a62671980
13570c26ba7
1430c8a48a4
151b706b910
hex10d8eab30

4522421040 has 160 divisors (see below), whose sum is σ = 14787982080. Its totient is φ = 1140139008.

The previous prime is 4522421011. The next prime is 4522421051. The reversal of 4522421040 is 401242254.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4522421040.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3524239 + ... + 3525521.

It is an arithmetic number, because the mean of its divisors is an integer number (92424888).

Almost surely, 24522421040 is an apocalyptic number.

4522421040 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 4522421040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7393991040).

4522421040 is an abundant number, since it is smaller than the sum of its proper divisors (10265561040).

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

4522421040 is a wasteful number, since it uses less digits than its factorization.

4522421040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2091 (or 2085 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 4522421040 is about 67248.9482445636. The cubic root of 4522421040 is about 1653.7010328699.

Adding to 4522421040 its reverse (401242254), we get a palindrome (4923663294).

The spelling of 4522421040 in words is "four billion, five hundred twenty-two million, four hundred twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 773 912 1140 1283 1520 1546 2280 2319 2566 3092 3849 3865 4560 4638 5132 6184 6415 7698 7730 9276 10264 11595 12368 12830 14687 15396 15460 18552 19245 20528 23190 24377 25660 29374 30792 30920 37104 38490 44061 46380 48754 51320 58748 61584 61840 73131 73435 76980 88122 92760 97508 102640 117496 121885 146262 146870 153960 176244 185520 195016 220305 234992 243770 292524 293740 307920 352488 365655 390032 440610 487540 585048 587480 704976 731310 881220 975080 991759 1170096 1174960 1462620 1762440 1950160 1983518 2925240 2975277 3524880 3967036 4958795 5850480 5950554 7934072 9917590 11901108 14876385 15868144 18843421 19835180 23802216 29752770 37686842 39670360 47604432 56530263 59505540 75373684 79340720 94217105 113060526 119011080 150747368 188434210 226121052 238022160 282651315 301494736 376868420 452242104 565302630 753736840 904484208 1130605260 1507473680 2261210520 4522421040