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4022921840 = 245731123099
BaseRepresentation
bin1110111111001000…
…1110101001110000
3101101100211121022012
43233302032221300
531214331444330
61503105102052
7201456162050
oct35762165160
911340747265
104022921840
11178491a7a3
12943327928
134c15b8a32
142a23dd560
151882a1c95
hexefc8ea70

4022921840 has 80 divisors (see below), whose sum is σ = 10724313600. Its totient is φ = 1374792960.

The previous prime is 4022921719. The next prime is 4022921857. The reversal of 4022921840 is 481292204.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 4022921797 and 4022921806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162611 + ... + 185709.

It is an arithmetic number, because the mean of its divisors is an integer number (134053920).

Almost surely, 24022921840 is an apocalyptic number.

4022921840 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 4022921840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5362156800).

4022921840 is an abundant number, since it is smaller than the sum of its proper divisors (6701391760).

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

4022921840 is a wasteful number, since it uses less digits than its factorization.

4022921840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23430 (or 23424 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 4022921840 is about 63426.5073924144. The cubic root of 4022921840 is about 1590.4274578203.

The spelling of 4022921840 in words is "four billion, twenty-two million, nine hundred twenty-one thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 311 560 622 1244 1555 2177 2488 3110 4354 4976 6220 8708 10885 12440 17416 21770 23099 24880 34832 43540 46198 87080 92396 115495 161693 174160 184792 230990 323386 369584 461980 646772 808465 923960 1293544 1616930 1847920 2587088 3233860 6467720 7183789 12935440 14367578 28735156 35918945 50286523 57470312 71837890 100573046 114940624 143675780 201146092 251432615 287351560 402292184 502865230 574703120 804584368 1005730460 2011460920 4022921840