Search a number
-
+
148414050 = 232523110639
BaseRepresentation
bin10001101100010…
…01111001100010
3101100021012210200
420312021321202
5300443222200
622421010030
73451333011
oct1066117142
9340235720
10148414050
1176859744
1241853916
1324995085
14159d4a78
15d069800
hex8d89e62

148414050 has 72 divisors (see below), whose sum is σ = 411640320. Its totient is φ = 38296800.

The previous prime is 148414033. The next prime is 148414093. The reversal of 148414050 is 50414841.

It is a happy number.

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 (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8631 + ... + 19269.

Almost surely, 2148414050 is an apocalyptic number.

148414050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 148414050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205820160).

148414050 is an abundant number, since it is smaller than the sum of its proper divisors (263226270).

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

148414050 is a wasteful number, since it uses less digits than its factorization.

148414050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10688 (or 10680 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 148414050 is about 12182.5305253055. The cubic root of 148414050 is about 529.4500644405.

Adding to 148414050 its reverse (50414841), we get a palindrome (198828891).

The spelling of 148414050 in words is "one hundred forty-eight million, four hundred fourteen thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 31 45 50 62 75 90 93 150 155 186 225 279 310 450 465 558 775 930 1395 1550 2325 2790 4650 6975 10639 13950 21278 31917 53195 63834 95751 106390 159585 191502 265975 319170 329809 478755 531950 659618 797925 957510 989427 1595850 1649045 1978854 2393775 2968281 3298090 4787550 4947135 5936562 8245225 9894270 14841405 16490450 24735675 29682810 49471350 74207025 148414050