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53431920 = 2433529853
BaseRepresentation
bin1100101111010…
…0111001110000
310201112121211000
43023310321300
5102134310140
65145122000
71216110123
oct313647160
9121477730
1053431920
1128185213
1215a89300
13b0ba529
14714c3ba
154a56a30
hex32f4e70

53431920 has 160 divisors (see below), whose sum is σ = 190612800. Its totient is φ = 13741056.

The previous prime is 53431919. The next prime is 53431927. The reversal of 53431920 is 2913435.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53431927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62214 + ... + 63066.

It is an arithmetic number, because the mean of its divisors is an integer number (1191330).

Almost surely, 253431920 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 53431920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95306400).

53431920 is an abundant number, since it is smaller than the sum of its proper divisors (137180880).

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

53431920 is a wasteful number, since it uses less digits than its factorization.

53431920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 53431920 is about 7309.7140846958. The cubic root of 53431920 is about 376.6462028022.

The spelling of 53431920 in words is "fifty-three million, four hundred thirty-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 29 30 36 40 45 48 54 58 60 72 80 87 90 108 116 120 135 144 145 174 180 216 232 240 261 270 290 348 360 432 435 464 522 540 580 696 720 783 853 870 1044 1080 1160 1305 1392 1566 1706 1740 2088 2160 2320 2559 2610 3132 3412 3480 3915 4176 4265 5118 5220 6264 6824 6960 7677 7830 8530 10236 10440 12528 12795 13648 15354 15660 17060 20472 20880 23031 24737 25590 30708 31320 34120 38385 40944 46062 49474 51180 61416 62640 68240 74211 76770 92124 98948 102360 115155 122832 123685 148422 153540 184248 197896 204720 222633 230310 247370 296844 307080 368496 371055 395792 445266 460620 494740 593688 614160 667899 742110 890532 921240 989480 1113165 1187376 1335798 1484220 1781064 1842480 1978960 2226330 2671596 2968440 3339495 3562128 4452660 5343192 5936880 6678990 8905320 10686384 13357980 17810640 26715960 53431920