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54055520 = 2552337397
BaseRepresentation
bin1100111000110…
…1001001100000
310202201022020022
43032031021200
5102314234040
65210333012
71224315161
oct316151140
9122638208
1054055520
1128570792
121612a168
13b27831c
147271768
154b2b6b5
hex338d260

54055520 has 96 divisors (see below), whose sum is σ = 137204928. Its totient is φ = 20072448.

The previous prime is 54055459. The next prime is 54055523. The reversal of 54055520 is 2555045.

It is a self number, because there is not a number n which added to its sum of digits gives 54055520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54055523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135962 + ... + 136358.

It is an arithmetic number, because the mean of its divisors is an integer number (1429218).

Almost surely, 254055520 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 54055520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68602464).

54055520 is an abundant number, since it is smaller than the sum of its proper divisors (83149408).

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

54055520 is a wasteful number, since it uses less digits than its factorization.

54055520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 5000, while the sum is 26.

The square root of 54055520 is about 7352.2459153649. The cubic root of 54055520 is about 378.1058091483.

The spelling of 54055520 in words is "fifty-four million, fifty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 37 40 46 74 80 92 115 148 160 184 185 230 296 368 370 397 460 592 736 740 794 851 920 1184 1480 1588 1702 1840 1985 2960 3176 3404 3680 3970 4255 5920 6352 6808 7940 8510 9131 12704 13616 14689 15880 17020 18262 27232 29378 31760 34040 36524 45655 58756 63520 68080 73048 73445 91310 117512 136160 146096 146890 182620 235024 292192 293780 337847 365240 470048 587560 675694 730480 1175120 1351388 1460960 1689235 2350240 2702776 3378470 5405552 6756940 10811104 13513880 27027760 54055520