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4425216880 = 245710972497
BaseRepresentation
bin1000001111100001…
…10111001101110000
3102102101211022100111
410013300313031300
533030323420010
62011035431104
7214442502640
oct40760671560
912371738314
104425216880
111970a12a37
12a35bb5494
13556a51b36
142dda00520
151ad76a58a
hex107c37370

4425216880 has 80 divisors (see below), whose sum is σ = 11866472640. Its totient is φ = 1503277056.

The previous prime is 4425216877. The next prime is 4425216881. The reversal of 4425216880 is 886125244.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4425216881) 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, 24792 + ... + 97288.

It is an arithmetic number, because the mean of its divisors is an integer number (148330908).

Almost surely, 24425216880 is an apocalyptic number.

4425216880 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 4425216880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5933236320).

4425216880 is an abundant number, since it is smaller than the sum of its proper divisors (7441255760).

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

4425216880 is a wasteful number, since it uses less digits than its factorization.

4425216880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72626 (or 72620 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 40.

The square root of 4425216880 is about 66522.3036281817. The cubic root of 4425216880 is about 1641.7669929783.

The spelling of 4425216880 in words is "four billion, four hundred twenty-five million, two hundred sixteen thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 109 112 140 218 280 436 545 560 763 872 1090 1526 1744 2180 3052 3815 4360 6104 7630 8720 12208 15260 30520 61040 72497 144994 289988 362485 507479 579976 724970 1014958 1159952 1449940 2029916 2537395 2899880 4059832 5074790 5799760 7902173 8119664 10149580 15804346 20299160 31608692 39510865 40598320 55315211 63217384 79021730 110630422 126434768 158043460 221260844 276576055 316086920 442521688 553152110 632173840 885043376 1106304220 2212608440 4425216880