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53232080 = 24511241251
BaseRepresentation
bin1100101100010…
…0000111010000
310201011110200112
43023010013100
5102111411310
65140540452
71214315366
oct313040720
9121143615
1053232080
1128059060
12159b1728
13b04a595
1470d9636
154a17705
hex32c41d0

53232080 has 80 divisors (see below), whose sum is σ = 136116288. Its totient is φ = 19200000.

The previous prime is 53232073. The next prime is 53232089. The reversal of 53232080 is 8023235.

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

It is a super-2 number, since 2×532320802 = 5667308682252800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53232089) 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, 211955 + ... + 212205.

Almost surely, 253232080 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 53232080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68058144).

53232080 is an abundant number, since it is smaller than the sum of its proper divisors (82884208).

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

53232080 is a wasteful number, since it uses less digits than its factorization.

53232080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 53232080 is about 7296.0317981763. The cubic root of 53232080 is about 376.1760530607.

It can be divided in two parts, 5 and 3232080, that multiplied together give a square (16160400 = 40202).

The spelling of 53232080 in words is "fifty-three million, two hundred thirty-two thousand, eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 241 251 440 482 502 880 964 1004 1205 1255 1928 2008 2410 2510 2651 2761 3856 4016 4820 5020 5302 5522 9640 10040 10604 11044 13255 13805 19280 20080 21208 22088 26510 27610 42416 44176 53020 55220 60491 106040 110440 120982 212080 220880 241964 302455 483928 604910 665401 967856 1209820 1330802 2419640 2661604 3327005 4839280 5323208 6654010 10646416 13308020 26616040 53232080