Search a number
-
+
55898700 = 2235211131303
BaseRepresentation
bin1101010100111…
…1001001001100
310220011221121020
43111033021030
5103302224300
65314034140
71246062654
oct325171114
9126157536
1055898700
112960a580
1216878950
13b772270
1475d1364
154d928a0
hex354f24c

55898700 has 144 divisors (see below), whose sum is σ = 190154496. Its totient is φ = 12499200.

The previous prime is 55898693. The next prime is 55898701. The reversal of 55898700 is 789855.

55898700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (55898701) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 42249 + ... + 43551.

Almost surely, 255898700 is an apocalyptic number.

55898700 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 55898700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95077248).

55898700 is an abundant number, since it is smaller than the sum of its proper divisors (134255796).

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

55898700 is a wasteful number, since it uses less digits than its factorization.

55898700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 42.

The square root of 55898700 is about 7476.5433189409. The cubic root of 55898700 is about 382.3554069223.

The spelling of 55898700 in words is "fifty-five million, eight hundred ninety-eight thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 25 26 30 33 39 44 50 52 55 60 65 66 75 78 100 110 130 132 143 150 156 165 195 220 260 275 286 300 325 330 390 429 550 572 650 660 715 780 825 858 975 1100 1300 1303 1430 1650 1716 1950 2145 2606 2860 3300 3575 3900 3909 4290 5212 6515 7150 7818 8580 10725 13030 14300 14333 15636 16939 19545 21450 26060 28666 32575 33878 39090 42900 42999 50817 57332 65150 67756 71665 78180 84695 85998 97725 101634 130300 143330 169390 171996 186329 195450 203268 214995 254085 286660 338780 358325 372658 390900 423475 429990 508170 558987 716650 745316 846950 859980 931645 1016340 1074975 1117974 1270425 1433300 1693900 1863290 2149950 2235948 2540850 2794935 3726580 4299900 4658225 5081700 5589870 9316450 11179740 13974675 18632900 27949350 55898700