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54999900 = 223252232657
BaseRepresentation
bin1101000111001…
…1101101011100
310211111021200100
43101303231130
5103034444100
65242501100
71235330364
oct321635534
9124437610
1054999900
112905626a
1216504790
13b519127
1474399a4
154c66400
hex3473b5c

54999900 has 108 divisors (see below), whose sum is σ = 179957232. Its totient is φ = 14023680.

The previous prime is 54999899. The next prime is 54999907. The reversal of 54999900 is 999945.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54999907) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19372 + ... + 22028.

Almost surely, 254999900 is an apocalyptic number.

54999900 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 54999900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89978616).

54999900 is an abundant number, since it is smaller than the sum of its proper divisors (124957332).

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

54999900 is a wasteful number, since it uses less digits than its factorization.

54999900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2700 (or 2690 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 45.

The square root of 54999900 is about 7416.1917450940. The cubic root of 54999900 is about 380.2950155940.

Adding to 54999900 its sum of digits (45), we get a palindrome (54999945).

The spelling of 54999900 in words is "fifty-four million, nine hundred ninety-nine thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 25 30 36 45 46 50 60 69 75 90 92 100 115 138 150 180 207 225 230 276 300 345 414 450 460 575 690 828 900 1035 1150 1380 1725 2070 2300 2657 3450 4140 5175 5314 6900 7971 10350 10628 13285 15942 20700 23913 26570 31884 39855 47826 53140 61111 66425 79710 95652 119565 122222 132850 159420 183333 199275 239130 244444 265700 305555 366666 398550 478260 549999 597825 611110 733332 797100 916665 1099998 1195650 1222220 1527775 1833330 2199996 2391300 2749995 3055550 3666660 4583325 5499990 6111100 9166650 10999980 13749975 18333300 27499950 54999900