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55364320 = 2551183379
BaseRepresentation
bin1101001100110…
…0101011100000
310212011210120101
43103030223200
5103133124240
65254352144
71241406004
oct323145340
9125153511
1055364320
1129285040
121665b654
13b615c6b
1474d2704
154cd939a
hex34ccae0

55364320 has 96 divisors (see below), whose sum is σ = 144789120. Its totient is φ = 19837440.

The previous prime is 55364299. The next prime is 55364327. The reversal of 55364320 is 2346355.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55364327) 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, 145891 + ... + 146269.

It is an arithmetic number, because the mean of its divisors is an integer number (1508220).

Almost surely, 255364320 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 55364320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72394560).

55364320 is an abundant number, since it is smaller than the sum of its proper divisors (89424800).

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

55364320 is a wasteful number, since it uses less digits than its factorization.

55364320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 28.

The square root of 55364320 is about 7440.7203952306. The cubic root of 55364320 is about 381.1330907326.

The spelling of 55364320 in words is "fifty-five million, three hundred sixty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 83 88 110 160 166 176 220 332 352 379 415 440 664 758 830 880 913 1328 1516 1660 1760 1826 1895 2656 3032 3320 3652 3790 4169 4565 6064 6640 7304 7580 8338 9130 12128 13280 14608 15160 16676 18260 20845 29216 30320 31457 33352 36520 41690 60640 62914 66704 73040 83380 125828 133408 146080 157285 166760 251656 314570 333520 346027 503312 629140 667040 692054 1006624 1258280 1384108 1730135 2516560 2768216 3460270 5033120 5536432 6920540 11072864 13841080 27682160 55364320