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4050981840 = 2435431732269
BaseRepresentation
bin1111000101110101…
…0001001111010000
3101110022122012101110
43301131101033100
531244022404330
61505550333320
7202246530453
oct36135211720
911408565343
104050981840
111799745684
129507ba240
134c7361999
142a602549a
1518a995db0
hexf17513d0

4050981840 has 160 divisors (see below), whose sum is σ = 12930065280. Its totient is φ = 1048578048.

The previous prime is 4050981827. The next prime is 4050981859. The reversal of 4050981840 is 481890504.

4050981840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 1784226 + ... + 1786494.

It is an arithmetic number, because the mean of its divisors is an integer number (80812908).

Almost surely, 24050981840 is an apocalyptic number.

4050981840 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 4050981840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6465032640).

4050981840 is an abundant number, since it is smaller than the sum of its proper divisors (8879083440).

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

4050981840 is a wasteful number, since it uses less digits than its factorization.

4050981840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2501 (or 2495 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 4050981840 is about 63647.3239028948. The cubic root of 4050981840 is about 1594.1166533279.

The spelling of 4050981840 in words is "four billion, fifty million, nine hundred eighty-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 43 48 60 80 86 120 129 172 173 215 240 258 344 346 430 516 519 645 688 692 860 865 1032 1038 1290 1384 1720 1730 2064 2076 2269 2580 2595 2768 3440 3460 4152 4538 5160 5190 6807 6920 7439 8304 9076 10320 10380 11345 13614 13840 14878 18152 20760 22317 22690 27228 29756 34035 36304 37195 41520 44634 45380 54456 59512 68070 74390 89268 90760 97567 108912 111585 119024 136140 148780 178536 181520 195134 223170 272280 292701 297560 357072 390268 392537 446340 487835 544560 585402 595120 780536 785074 892680 975670 1170804 1177611 1463505 1561072 1570148 1785360 1951340 1962685 2341608 2355222 2927010 3140296 3902680 3925370 4683216 4710444 5854020 5888055 6280592 7805360 7850740 9420888 11708040 11776110 15701480 16879091 18841776 23416080 23552220 31402960 33758182 47104440 50637273 67516364 84395455 94208880 101274546 135032728 168790910 202549092 253186365 270065456 337581820 405098184 506372730 675163640 810196368 1012745460 1350327280 2025490920 4050981840