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4952880 = 243352293
BaseRepresentation
bin10010111001001100110000
3100022122002000
4102321030300
52231443010
6254054000
760045612
oct22711460
910278060
104952880
112883199
1217aa300
1310454ca
1492cdb2
1567c7c0
hex4b9330

4952880 has 80 divisors (see below), whose sum is σ = 17067360. Its totient is φ = 1320192.

The previous prime is 4952861. The next prime is 4952887. The reversal of 4952880 is 882594.

4952880 is digitally balanced in base 5, 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 Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4952887) 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, 1014 + ... + 3306.

It is an arithmetic number, because the mean of its divisors is an integer number (213342).

Almost surely, 24952880 is an apocalyptic number.

4952880 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 4952880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8533680).

4952880 is an abundant number, since it is smaller than the sum of its proper divisors (12114480).

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

4952880 is a wasteful number, since it uses less digits than its factorization.

4952880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2315 (or 2303 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 4952880 is about 2225.5066838812. The cubic root of 4952880 is about 170.4587379332.

It can be divided in two parts, 4952 and 880, that added together give a cube (5832 = 183).

The spelling of 4952880 in words is "four million, nine hundred fifty-two thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 2293 4586 6879 9172 11465 13758 18344 20637 22930 27516 34395 36688 41274 45860 55032 61911 68790 82548 91720 103185 110064 123822 137580 165096 183440 206370 247644 275160 309555 330192 412740 495288 550320 619110 825480 990576 1238220 1650960 2476440 4952880