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53888880 = 24351511487
BaseRepresentation
bin1100110110010…
…0011101110000
310202101211122110
43031210131300
5102243421010
65203005320
71223022303
oct315443560
9122354573
1053888880
1128467571
1216069840
13b21a516
14722ab3a
154ae7120
hex3364770

53888880 has 80 divisors (see below), whose sum is σ = 168274944. Its totient is φ = 14265600.

The previous prime is 53888851. The next prime is 53888893. The reversal of 53888880 is 8888835.

53888880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×538888802 = 5808022775308800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 35497 + ... + 36983.

Almost surely, 253888880 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 53888880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84137472).

53888880 is an abundant number, since it is smaller than the sum of its proper divisors (114386064).

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

53888880 is a wasteful number, since it uses less digits than its factorization.

53888880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1654 (or 1648 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 48.

The square root of 53888880 is about 7340.9045764129. The cubic root of 53888880 is about 377.7168731753.

The spelling of 53888880 in words is "fifty-three million, eight hundred eighty-eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 151 240 302 453 604 755 906 1208 1487 1510 1812 2265 2416 2974 3020 3624 4461 4530 5948 6040 7248 7435 8922 9060 11896 12080 14870 17844 18120 22305 23792 29740 35688 36240 44610 59480 71376 89220 118960 178440 224537 356880 449074 673611 898148 1122685 1347222 1796296 2245370 2694444 3368055 3592592 4490740 5388888 6736110 8981480 10777776 13472220 17962960 26944440 53888880