Search a number
-
+
198198048 = 2533755799
BaseRepresentation
bin10111101000001…
…00001100100000
3111210221111121110
423310010030200
5401214314143
631400023320
74624440606
oct1364041440
9453844543
10198198048
11a1972144
1256461b40
13320a6069
141c473876
1512600533
hexbd04320

198198048 has 48 divisors (see below), whose sum is σ = 534340800. Its totient is φ = 64279296.

The previous prime is 198198047. The next prime is 198198083. The reversal of 198198048 is 840891891.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-5 number, since 5×1981980485 (a number of 43 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 198197988 and 198198006.

It is not an unprimeable number, because it can be changed into a prime (198198041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24348 + ... + 31451.

It is an arithmetic number, because the mean of its divisors is an integer number (11132100).

Almost surely, 2198198048 is an apocalyptic number.

It is an amenable number.

198198048 is an abundant number, since it is smaller than the sum of its proper divisors (336142752).

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

198198048 is a wasteful number, since it uses less digits than its factorization.

198198048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55849 (or 55841 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 48.

The square root of 198198048 is about 14078.2828498365. The cubic root of 198198048 is about 583.0419332238.

The spelling of 198198048 in words is "one hundred ninety-eight million, one hundred ninety-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1776 3552 55799 111598 167397 223196 334794 446392 669588 892784 1339176 1785568 2064563 2678352 4129126 5356704 6193689 8258252 12387378 16516504 24774756 33033008 49549512 66066016 99099024 198198048