Search a number
-
+
100044544 = 28894391
BaseRepresentation
bin1011111011010…
…00111100000000
320222020210022111
411331220330000
5201102411134
613532145104
72323236025
oct575507400
9228223274
10100044544
1151521a46
1229608194
131795ab72
14d40354c
158bb2c64
hex5f68f00

100044544 has 36 divisors (see below), whose sum is σ = 201988080. Its totient is φ = 49448960.

The previous prime is 100044521. The next prime is 100044547. The reversal of 100044544 is 445440001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100044547) 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 3 ways as a sum of consecutive naturals, for example, 20589 + ... + 24979.

It is an arithmetic number, because the mean of its divisors is an integer number (5610780).

Almost surely, 2100044544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100044544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100994040).

100044544 is an abundant number, since it is smaller than the sum of its proper divisors (101943536).

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

100044544 is an frugal number, since it uses more digits than its factorization.

100044544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4496 (or 4482 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 100044544 is about 10002.2269520342. The cubic root of 100044544 is about 464.2277914418.

Adding to 100044544 its reverse (445440001), we get a palindrome (545484545).

The spelling of 100044544 in words is "one hundred million, forty-four thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 32 64 89 128 178 256 356 712 1424 2848 4391 5696 8782 11392 17564 22784 35128 70256 140512 281024 390799 562048 781598 1124096 1563196 3126392 6252784 12505568 25011136 50022272 100044544