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55385760 = 2535196073
BaseRepresentation
bin1101001101000…
…1111010100000
310212012212222110
43103101322200
5103134321020
65255035320
71241525343
oct323217240
9125185873
1055385760
112929a161
121666bb40
13b622951
1474da45a
154ce08e0
hex34d1ea0

55385760 has 96 divisors (see below), whose sum is σ = 183677760. Its totient is φ = 13989888.

The previous prime is 55385749. The next prime is 55385761. The reversal of 55385760 is 6758355.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55385761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6084 + ... + 12156.

It is an arithmetic number, because the mean of its divisors is an integer number (1913310).

Almost surely, 255385760 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 55385760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91838880).

55385760 is an abundant number, since it is smaller than the sum of its proper divisors (128292000).

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

55385760 is a wasteful number, since it uses less digits than its factorization.

55385760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6110 (or 6102 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 39.

The square root of 55385760 is about 7442.1609764906. The cubic root of 55385760 is about 381.1822826965.

The spelling of 55385760 in words is "fifty-five million, three hundred eighty-five thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 76 80 95 96 114 120 152 160 190 228 240 285 304 380 456 480 570 608 760 912 1140 1520 1824 2280 3040 4560 6073 9120 12146 18219 24292 30365 36438 48584 60730 72876 91095 97168 115387 121460 145752 182190 194336 230774 242920 291504 346161 364380 461548 485840 576935 583008 692322 728760 923096 971680 1153870 1384644 1457520 1730805 1846192 2307740 2769288 2915040 3461610 3692384 4615480 5538576 6923220 9230960 11077152 13846440 18461920 27692880 55385760