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52140480 = 263577759
BaseRepresentation
bin1100011011100…
…1100111000000
310122010000021220
43012321213000
5101321443410
65101315040
71202121030
oct306714700
9118100256
1052140480
1127482a07
1215565a80
13aa57772
146cd38c0
15489e070
hex31b99c0

52140480 has 112 divisors (see below), whose sum is σ = 189219840. Its totient is φ = 11916288.

The previous prime is 52140461. The next prime is 52140497. The reversal of 52140480 is 8404125.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 52140480.

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, 2841 + ... + 10599.

Almost surely, 252140480 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 52140480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94609920).

52140480 is an abundant number, since it is smaller than the sum of its proper divisors (137079360).

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

52140480 is a wasteful number, since it uses less digits than its factorization.

52140480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7786 (or 7776 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 52140480 is about 7220.8365166371. The cubic root of 52140480 is about 373.5869308721.

The spelling of 52140480 in words is "fifty-two million, one hundred forty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 7759 15518 23277 31036 38795 46554 54313 62072 77590 93108 108626 116385 124144 155180 162939 186216 217252 232770 248288 271565 310360 325878 372432 434504 465540 496576 543130 620720 651756 744864 814695 869008 931080 1086260 1241440 1303512 1489728 1629390 1738016 1862160 2172520 2482880 2607024 3258780 3476032 3724320 4345040 5214048 6517560 7448640 8690080 10428096 13035120 17380160 26070240 52140480