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4426614540 = 22325113367593
BaseRepresentation
bin1000001111101100…
…01100011100001100
3102102111110022120200
410013312030130030
533031203131130
62011125413500
7214460413515
oct40766143414
912374408520
104426614540
111971788027
12a3656a290
1355712105a
142ddc85a0c
151ad944760
hex107d8c70c

4426614540 has 144 divisors (see below), whose sum is σ = 13606040448. Its totient is φ = 1164828672.

The previous prime is 4426614461. The next prime is 4426614551. The reversal of 4426614540 is 454166244.

4426614540 is a `hidden beast` number, since 4 + 42 + 66 + 14 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4426614495 and 4426614504.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7464484 + ... + 7465076.

It is an arithmetic number, because the mean of its divisors is an integer number (94486392).

Almost surely, 24426614540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4426614540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6803020224).

4426614540 is an abundant number, since it is smaller than the sum of its proper divisors (9179425908).

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

4426614540 is a wasteful number, since it uses less digits than its factorization.

4426614540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 4426614540 is about 66532.8079972580. The cubic root of 4426614540 is about 1641.9398199516.

The spelling of 4426614540 in words is "four billion, four hundred twenty-six million, six hundred fourteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 113 180 226 339 367 452 565 593 678 734 1017 1101 1130 1186 1356 1468 1695 1779 1835 2034 2202 2260 2372 2965 3303 3390 3558 3670 4068 4404 5085 5337 5505 5930 6606 6780 7116 7340 8895 10170 10674 11010 11860 13212 16515 17790 20340 21348 22020 26685 33030 35580 41471 53370 66060 67009 82942 106740 124413 134018 165884 201027 207355 217631 248826 268036 335045 373239 402054 414710 435262 497652 603081 622065 652893 670090 746478 804108 829420 870524 1005135 1088155 1206162 1244130 1305786 1340180 1492956 1866195 1958679 2010270 2176310 2412324 2488260 2611572 3015405 3264465 3732390 3917358 4020540 4352620 6030810 6528930 7464780 7834716 9793395 12061620 13057860 19586790 24592303 39173580 49184606 73776909 98369212 122961515 147553818 221330727 245923030 295107636 368884545 442661454 491846060 737769090 885322908 1106653635 1475538180 2213307270 4426614540