Search a number
-
+
4225764080 = 245375924197
BaseRepresentation
bin1111101111100000…
…0000101011110000
3101220111112001112202
43323320000223300
532123243422310
61535152442332
7206501254616
oct37370005360
911814461482
104225764080
11187937410a
1299b2493a8
13524629925
142c13216b6
1519aebd3a5
hexfbe00af0

4225764080 has 80 divisors (see below), whose sum is σ = 10261887840. Its totient is φ = 1616679936.

The previous prime is 4225764047. The next prime is 4225764083. The reversal of 4225764080 is 804675224.

4225764080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4225764083) 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, 162542 + ... + 186738.

It is an arithmetic number, because the mean of its divisors is an integer number (128273598).

Almost surely, 24225764080 is an apocalyptic number.

4225764080 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 4225764080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5130943920).

4225764080 is an abundant number, since it is smaller than the sum of its proper divisors (6036123760).

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

4225764080 is a wasteful number, since it uses less digits than its factorization.

4225764080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24306 (or 24300 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 38.

The square root of 4225764080 is about 65005.8772727513. The cubic root of 4225764080 is about 1616.7210107262.

The spelling of 4225764080 in words is "four billion, two hundred twenty-five million, seven hundred sixty-four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 37 40 59 74 80 118 148 185 236 295 296 370 472 590 592 740 944 1180 1480 2183 2360 2960 4366 4720 8732 10915 17464 21830 24197 34928 43660 48394 87320 96788 120985 174640 193576 241970 387152 483940 895289 967880 1427623 1790578 1935760 2855246 3581156 4476445 5710492 7138115 7162312 8952890 11420984 14276230 14324624 17905780 22841968 28552460 35811560 52822051 57104920 71623120 105644102 114209840 211288204 264110255 422576408 528220510 845152816 1056441020 2112882040 4225764080