Search a number
-
+
63044080 = 24511312311
BaseRepresentation
bin1111000001111…
…1100111110000
311101121222012221
43300133213300
5112114402310
610131130424
71363602661
oct360374760
9141558187
1063044080
113264aa50
1219143a14
13100a46b8
148531368
155804ada
hex3c1f9f0

63044080 has 80 divisors (see below), whose sum is σ = 165132288. Its totient is φ = 22176000.

The previous prime is 63044053. The next prime is 63044089. The reversal of 63044080 is 8044036.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63044089) 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, 26125 + ... + 28435.

Almost surely, 263044080 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 63044080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82566144).

63044080 is an abundant number, since it is smaller than the sum of its proper divisors (102088208).

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

63044080 is a wasteful number, since it uses less digits than its factorization.

63044080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2366 (or 2360 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 63044080 is about 7940.0302266427. The cubic root of 63044080 is about 397.9985017157.

The spelling of 63044080 in words is "sixty-three million, forty-four thousand, eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 40 44 55 62 80 88 110 124 155 176 220 248 310 341 440 496 620 682 880 1240 1364 1705 2311 2480 2728 3410 4622 5456 6820 9244 11555 13640 18488 23110 25421 27280 36976 46220 50842 71641 92440 101684 127105 143282 184880 203368 254210 286564 358205 406736 508420 573128 716410 788051 1016840 1146256 1432820 1576102 2033680 2865640 3152204 3940255 5731280 6304408 7880510 12608816 15761020 31522040 63044080