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54689760 = 25325163233
BaseRepresentation
bin1101000010011…
…1111111100000
310210220112020200
43100213333200
5103000033020
65232105200
71232566236
oct320477740
9123815220
1054689760
1128964254
1216395200
13b43ac08
147398956
154c04590
hex3427fe0

54689760 has 144 divisors (see below), whose sum is σ = 188579664. Its totient is φ = 14432256.

The previous prime is 54689753. The next prime is 54689773. The reversal of 54689760 is 6798645.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 234604 + ... + 234836.

It is an arithmetic number, because the mean of its divisors is an integer number (1309581).

Almost surely, 254689760 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 54689760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94289832).

54689760 is an abundant number, since it is smaller than the sum of its proper divisors (133889904).

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

54689760 is a wasteful number, since it uses less digits than its factorization.

54689760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 54689760 is about 7395.2525311851. The cubic root of 54689760 is about 379.5788501294.

The spelling of 54689760 in words is "fifty-four million, six hundred eighty-nine thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 163 180 233 240 288 326 360 466 480 489 652 699 720 815 932 978 1165 1304 1398 1440 1467 1630 1864 1956 2097 2330 2445 2608 2796 2934 3260 3495 3728 3912 4194 4660 4890 5216 5592 5868 6520 6990 7335 7456 7824 8388 9320 9780 10485 11184 11736 13040 13980 14670 15648 16776 18640 19560 20970 22368 23472 26080 27960 29340 33552 37280 37979 39120 41940 46944 55920 58680 67104 75958 78240 83880 111840 113937 117360 151916 167760 189895 227874 234720 303832 335520 341811 379790 455748 569685 607664 683622 759580 911496 1139370 1215328 1367244 1519160 1709055 1822992 2278740 2734488 3038320 3418110 3645984 4557480 5468976 6076640 6836220 9114960 10937952 13672440 18229920 27344880 54689760