Search a number
-
+
54988830 = 232513431093
BaseRepresentation
bin1101000111000…
…1000000011110
310211110201111100
43101301000132
5103034120310
65242333530
71235253201
oct321610036
9124421440
1054988830
1129048a16
12164ba2a6
13b514090
147435938
154c62ec0
hex347101e

54988830 has 96 divisors (see below), whose sum is σ = 157693536. Its totient is φ = 13208832.

The previous prime is 54988763. The next prime is 54988847. The reversal of 54988830 is 3888945.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 49764 + ... + 50856.

It is an arithmetic number, because the mean of its divisors is an integer number (1642641).

Almost surely, 254988830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54988830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78846768).

54988830 is an abundant number, since it is smaller than the sum of its proper divisors (102704706).

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

54988830 is a wasteful number, since it uses less digits than its factorization.

54988830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 1159 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 54988830 is about 7415.4453676094. The cubic root of 54988830 is about 380.2694994973.

The spelling of 54988830 in words is "fifty-four million, nine hundred eighty-eight thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 43 45 65 78 86 90 117 129 130 195 215 234 258 387 390 430 559 585 645 774 1093 1118 1170 1290 1677 1935 2186 2795 3279 3354 3870 5031 5465 5590 6558 8385 9837 10062 10930 14209 16395 16770 19674 25155 28418 32790 42627 46999 49185 50310 71045 85254 93998 98370 127881 140997 142090 213135 234995 255762 281994 422991 426270 469990 610987 639405 704985 845982 1221974 1278810 1409970 1832961 2114955 3054935 3665922 4229910 5498883 6109870 9164805 10997766 18329610 27494415 54988830