Search a number
-
+
4912880 = 245731283
BaseRepresentation
bin10010101111011011110000
3100020121012112
4102233123300
52224203010
6253144452
756521160
oct22573360
910217175
104912880
112856135
12178b128
13103023b
1491c5a0
15670a05
hex4af6f0

4912880 has 80 divisors (see below), whose sum is σ = 13522944. Its totient is φ = 1624320.

The previous prime is 4912841. The next prime is 4912891. The reversal of 4912880 is 882194.

It is a happy number.

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, 17219 + ... + 17501.

Almost surely, 24912880 is an apocalyptic number.

4912880 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 4912880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6761472).

4912880 is an abundant number, since it is smaller than the sum of its proper divisors (8610064).

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

4912880 is a wasteful number, since it uses less digits than its factorization.

4912880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 4912880 is about 2216.5017482511. The cubic root of 4912880 is about 169.9986159057.

The spelling of 4912880 in words is "four million, nine hundred twelve thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 35 40 56 62 70 80 112 124 140 155 217 248 280 283 310 434 496 560 566 620 868 1085 1132 1240 1415 1736 1981 2170 2264 2480 2830 3472 3962 4340 4528 5660 7924 8680 8773 9905 11320 15848 17360 17546 19810 22640 31696 35092 39620 43865 61411 70184 79240 87730 122822 140368 158480 175460 245644 307055 350920 491288 614110 701840 982576 1228220 2456440 4912880