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53648880 = 2435239719
BaseRepresentation
bin1100110010100…
…1110111110000
310201221122102120
43030221313300
5102213231010
65153514240
71221002505
oct314516760
9121848376
1053648880
112831321a
1215b72980
13b1651cc
1471a74ac
154a9ae70
hex3329df0

53648880 has 80 divisors (see below), whose sum is σ = 173560320. Its totient is φ = 13682944.

The previous prime is 53648849. The next prime is 53648893. The reversal of 53648880 is 8884635.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 661 + ... + 10379.

It is an arithmetic number, because the mean of its divisors is an integer number (2169504).

Almost surely, 253648880 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 53648880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86780160).

53648880 is an abundant number, since it is smaller than the sum of its proper divisors (119911440).

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

53648880 is a wasteful number, since it uses less digits than its factorization.

53648880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9758 (or 9752 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 53648880 is about 7324.5395759734. The cubic root of 53648880 is about 377.1553042593.

The spelling of 53648880 in words is "fifty-three million, six hundred forty-eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 1104 1380 1840 2760 5520 9719 19438 29157 38876 48595 58314 77752 97190 116628 145785 155504 194380 223537 233256 291570 388760 447074 466512 583140 670611 777520 894148 1117685 1166280 1341222 1788296 2235370 2332560 2682444 3353055 3576592 4470740 5364888 6706110 8941480 10729776 13412220 17882960 26824440 53648880