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54983700 = 223252199307
BaseRepresentation
bin1101000110111…
…1110000010100
310211110110110100
43101233300110
5103033434300
65242254100
71235232222
oct321576024
9124413410
1054983700
1129045082
12164b7330
13b511945
147433b12
154c61700
hex346fc14

54983700 has 108 divisors (see below), whose sum is σ = 173773600. Its totient is φ = 14541120.

The previous prime is 54983699. The next prime is 54983711. The reversal of 54983700 is 738945.

54983700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 178947 + ... + 179253.

Almost surely, 254983700 is an apocalyptic number.

54983700 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 54983700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86886800).

54983700 is an abundant number, since it is smaller than the sum of its proper divisors (118789900).

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

54983700 is a wasteful number, since it uses less digits than its factorization.

54983700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 54983700 is about 7415.0994598859. The cubic root of 54983700 is about 380.2576738035.

The spelling of 54983700 in words is "fifty-four million, nine hundred eighty-three thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 199 225 300 307 398 450 597 614 796 900 921 995 1194 1228 1535 1791 1842 1990 2388 2763 2985 3070 3582 3684 3980 4605 4975 5526 5970 6140 7164 7675 8955 9210 9950 11052 11940 13815 14925 15350 17910 18420 19900 23025 27630 29850 30700 35820 44775 46050 55260 59700 61093 69075 89550 92100 122186 138150 179100 183279 244372 276300 305465 366558 549837 610930 733116 916395 1099674 1221860 1527325 1832790 2199348 2749185 3054650 3665580 4581975 5498370 6109300 9163950 10996740 13745925 18327900 27491850 54983700