Search a number
-
+
53005480 = 23511179673
BaseRepresentation
bin1100101000110…
…0110010101000
310200201221211221
43022030302220
5102032133410
65132031424
71212352633
oct312146250
9120657757
1053005480
1127a13890
1215902574
13ac9b3b8
14707ac1a
1549c04da
hex328cca8

53005480 has 64 divisors (see below), whose sum is σ = 131025600. Its totient is φ = 19138560.

The previous prime is 53005471. The next prime is 53005483. The reversal of 53005480 is 8450035.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (53005483) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 78424 + ... + 79096.

It is an arithmetic number, because the mean of its divisors is an integer number (2047275).

Almost surely, 253005480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53005480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65512800).

53005480 is an abundant number, since it is smaller than the sum of its proper divisors (78020120).

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

53005480 is a wasteful number, since it uses less digits than its factorization.

53005480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 53005480 is about 7280.4862474975. The cubic root of 53005480 is about 375.6415211683.

The spelling of 53005480 in words is "fifty-three million, five thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 179 220 358 440 673 716 895 1346 1432 1790 1969 2692 3365 3580 3938 5384 6730 7160 7403 7876 9845 13460 14806 15752 19690 26920 29612 37015 39380 59224 74030 78760 120467 148060 240934 296120 481868 602335 963736 1204670 1325137 2409340 2650274 4818680 5300548 6625685 10601096 13251370 26502740 53005480