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55056300 = 223521319743
BaseRepresentation
bin1101001000000…
…1011110101100
310211121011001020
43102001132230
5103043300200
65244014140
71235653665
oct322013654
9124534036
1055056300
1129094682
1216531350
13b5389c0
14745236c
154c77ea0
hex34817ac

55056300 has 144 divisors (see below), whose sum is σ = 180821760. Its totient is φ = 12821760.

The previous prime is 55056299. The next prime is 55056301. The reversal of 55056300 is 365055.

It is an interprime number because it is at equal distance from previous prime (55056299) and next prime (55056301).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55056301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73729 + ... + 74471.

Almost surely, 255056300 is an apocalyptic number.

55056300 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 55056300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90410880).

55056300 is an abundant number, since it is smaller than the sum of its proper divisors (125765460).

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

55056300 is a wasteful number, since it uses less digits than its factorization.

55056300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 24.

The square root of 55056300 is about 7419.9932614525. The cubic root of 55056300 is about 380.4249631728.

The spelling of 55056300 in words is "fifty-five million, fifty-six thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 19 20 25 26 30 38 39 50 52 57 60 65 75 76 78 95 100 114 130 150 156 190 195 228 247 260 285 300 325 380 390 475 494 570 650 741 743 780 950 975 988 1140 1235 1300 1425 1482 1486 1900 1950 2229 2470 2850 2964 2972 3705 3715 3900 4458 4940 5700 6175 7410 7430 8916 9659 11145 12350 14117 14820 14860 18525 18575 19318 22290 24700 28234 28977 37050 37150 38636 42351 44580 48295 55725 56468 57954 70585 74100 74300 84702 96590 111450 115908 141170 144885 169404 183521 193180 211755 222900 241475 282340 289770 352925 367042 423510 482950 550563 579540 705850 724425 734084 847020 917605 965900 1058775 1101126 1411700 1448850 1835210 2117550 2202252 2752815 2897700 3670420 4235100 4588025 5505630 9176050 11011260 13764075 18352100 27528150 55056300