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4328955760 = 245677431087
BaseRepresentation
bin1000000100000011…
…01001111101110000
3102011200200201220211
410002001221331300
532331203041020
61553320313504
7212163342163
oct40201517560
912150621824
104328955760
111921645598
12a09912894
1353cb1a0ac
142d0d03ada
151a50a385a
hex102069f70

4328955760 has 80 divisors (see below), whose sum is σ = 10238201856. Its totient is φ = 1701874944.

The previous prime is 4328955751. The next prime is 4328955779. The reversal of 4328955760 is 675598234.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3981937 + ... + 3983023.

Almost surely, 24328955760 is an apocalyptic number.

4328955760 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 4328955760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5119100928).

4328955760 is an abundant number, since it is smaller than the sum of its proper divisors (5909246096).

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

4328955760 is a wasteful number, since it uses less digits than its factorization.

4328955760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1910 (or 1904 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 49.

The square root of 4328955760 is about 65794.8004024634. The cubic root of 4328955760 is about 1629.7752409431.

The spelling of 4328955760 in words is "four billion, three hundred twenty-eight million, nine hundred fifty-five thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 268 335 536 670 743 1072 1087 1340 1486 2174 2680 2972 3715 4348 5360 5435 5944 7430 8696 10870 11888 14860 17392 21740 29720 43480 49781 59440 72829 86960 99562 145658 199124 248905 291316 364145 398248 497810 582632 728290 796496 807641 995620 1165264 1456580 1615282 1991240 2913160 3230564 3982480 4038205 5826320 6461128 8076410 12922256 16152820 32305640 54111947 64611280 108223894 216447788 270559735 432895576 541119470 865791152 1082238940 2164477880 4328955760