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55354200 = 23352118387
BaseRepresentation
bin1101001100101…
…0001101011000
310212011021200120
43103022031120
5103132313300
65254233240
71241334336
oct323121530
9125137616
1055354200
1129278480
1216655820
13b611485
1474ccb56
154cd63a0
hex34ca358

55354200 has 96 divisors (see below), whose sum is σ = 187220160. Its totient is φ = 13417600.

The previous prime is 55354171. The next prime is 55354217. The reversal of 55354200 is 245355.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 2407 + ... + 10793.

It is an arithmetic number, because the mean of its divisors is an integer number (1950210).

Almost surely, 255354200 is an apocalyptic number.

55354200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55354200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93610080).

55354200 is an abundant number, since it is smaller than the sum of its proper divisors (131865960).

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

55354200 is a wasteful number, since it uses less digits than its factorization.

55354200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8417 (or 8408 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 24.

The square root of 55354200 is about 7440.0403224714. The cubic root of 55354200 is about 381.1098669794.

Adding to 55354200 its reverse (245355), we get a palindrome (55599555).

The spelling of 55354200 in words is "fifty-five million, three hundred fifty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1100 1320 1650 2200 3300 6600 8387 16774 25161 33548 41935 50322 67096 83870 92257 100644 125805 167740 184514 201288 209675 251610 276771 335480 369028 419350 461285 503220 553542 629025 738056 838700 922570 1006440 1107084 1258050 1383855 1677400 1845140 2214168 2306425 2516100 2767710 3690280 4612850 5032200 5535420 6919275 9225700 11070840 13838550 18451400 27677100 55354200