Search a number
-
+
47880450 = 23352291223
BaseRepresentation
bin1011011010100…
…1100100000010
310100002120122000
42312221210002
544224133300
64430124430
71120656102
oct266514402
9110076560
1047880450
1125033322
1214050716
139bc5737
146505202
15430bc00
hex2da9902

47880450 has 96 divisors (see below), whose sum is σ = 136598400. Its totient is φ = 12317760.

The previous prime is 47880409. The next prime is 47880491. The reversal of 47880450 is 5408874.

It is an interprime number because it is at equal distance from previous prime (47880409) and next prime (47880491).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38539 + ... + 39761.

It is an arithmetic number, because the mean of its divisors is an integer number (1422900).

Almost surely, 247880450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47880450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68299200).

47880450 is an abundant number, since it is smaller than the sum of its proper divisors (88717950).

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

47880450 is a wasteful number, since it uses less digits than its factorization.

47880450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 47880450 is about 6919.5700733499. The cubic root of 47880450 is about 363.1221499989.

The spelling of 47880450 in words is "forty-seven million, eight hundred eighty thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 29 30 45 50 54 58 75 87 90 135 145 150 174 225 261 270 290 435 450 522 675 725 783 870 1223 1305 1350 1450 1566 2175 2446 2610 3669 3915 4350 6115 6525 7338 7830 11007 12230 13050 18345 19575 22014 30575 33021 35467 36690 39150 55035 61150 66042 70934 91725 106401 110070 165105 177335 183450 212802 275175 319203 330210 354670 532005 550350 638406 825525 886675 957609 1064010 1596015 1651050 1773350 1915218 2660025 3192030 4788045 5320050 7980075 9576090 15960150 23940225 47880450