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4022686640 = 245725128619
BaseRepresentation
bin1110111111000101…
…0101001110110000
3101101100101122200002
43233301111032300
531214301433030
61503100045132
7201454162250
oct35761251660
911340348602
104022686640
11178477a015
129432337a8
134c153596b
142a237b960
15188257245
hexefc553b0

4022686640 has 80 divisors (see below), whose sum is σ = 10731813120. Its totient is φ = 1373664000.

The previous prime is 4022686609. The next prime is 4022686643. The reversal of 4022686640 is 466862204.

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 = 4022686594 and 4022686603.

It is not an unprimeable number, because it can be changed into a prime (4022686643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126251 + ... + 154869.

It is an arithmetic number, because the mean of its divisors is an integer number (134147664).

Almost surely, 24022686640 is an apocalyptic number.

4022686640 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 4022686640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5365906560).

4022686640 is an abundant number, since it is smaller than the sum of its proper divisors (6709126480).

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

4022686640 is a wasteful number, since it uses less digits than its factorization.

4022686640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28890 (or 28884 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 38.

The square root of 4022686640 is about 63424.6532509244. The cubic root of 4022686640 is about 1590.3964624523.

The spelling of 4022686640 in words is "four billion, twenty-two million, six hundred eighty-six thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 251 280 502 560 1004 1255 1757 2008 2510 3514 4016 5020 7028 8785 10040 14056 17570 20080 28112 28619 35140 57238 70280 114476 140560 143095 200333 228952 286190 400666 457904 572380 801332 1001665 1144760 1602664 2003330 2289520 3205328 4006660 7183369 8013320 14366738 16026640 28733476 35916845 50283583 57466952 71833690 100567166 114933904 143667380 201134332 251417915 287334760 402268664 502835830 574669520 804537328 1005671660 2011343320 4022686640