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4426316880 = 2435235913591
BaseRepresentation
bin1000001111101010…
…00011110001010000
3102102110220012021020
410013311003301100
533031114120010
62011115155440
7214455033636
oct40765036120
912373805236
104426316880
1119715a4427
12a36445b80
1355704871b
142ddc09356
151ad8d6470
hex107d43c50

4426316880 has 160 divisors (see below), whose sum is σ = 14561925120. Its totient is φ = 1109813760.

The previous prime is 4426316879. The next prime is 4426316887. The reversal of 4426316880 is 886136244.

It is a super-2 number, since 2×44263168802 = 39184562244345868800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4426316887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 318885 + ... + 332475.

It is an arithmetic number, because the mean of its divisors is an integer number (91012032).

Almost surely, 24426316880 is an apocalyptic number.

4426316880 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 4426316880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7280962560).

4426316880 is an abundant number, since it is smaller than the sum of its proper divisors (10135608240).

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

4426316880 is a wasteful number, since it uses less digits than its factorization.

4426316880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13689 (or 13683 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 4426316880 is about 66530.5710181417. The cubic root of 4426316880 is about 1641.9030159970.

The spelling of 4426316880 in words is "four billion, four hundred twenty-six million, three hundred sixteen thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 59 60 69 80 92 115 118 120 138 177 184 230 236 240 276 295 345 354 368 460 472 552 590 690 708 885 920 944 1104 1180 1357 1380 1416 1770 1840 2360 2714 2760 2832 3540 4071 4720 5428 5520 6785 7080 8142 10856 13570 13591 14160 16284 20355 21712 27140 27182 32568 40710 40773 54280 54364 65136 67955 81420 81546 108560 108728 135910 162840 163092 203865 217456 271820 312593 325680 326184 407730 543640 625186 652368 801869 815460 937779 1087280 1250372 1562965 1603738 1630920 1875558 2405607 2500744 3125930 3207476 3261840 3751116 4009345 4688895 4811214 5001488 6251860 6414952 7502232 8018690 9377790 9622428 12028035 12503720 12829904 15004464 16037380 18442987 18755580 19244856 24056070 25007440 32074760 36885974 37511160 38489712 48112140 55328961 64149520 73771948 75022320 92214935 96224280 110657922 147543896 184429870 192448560 221315844 276644805 295087792 368859740 442631688 553289610 737719480 885263376 1106579220 1475438960 2213158440 4426316880