Search a number
-
+
51154000 = 245325577
BaseRepresentation
bin1100001100100…
…0110001010000
310120020220002121
43003020301100
5101043412000
65024224024
71160542012
oct303106120
9116226077
1051154000
1126969837
121516b014
13a7a0751
146b181b2
154756b1a
hex30c8c50

51154000 has 40 divisors (see below), whose sum is σ = 123695208. Its totient is φ = 20460800.

The previous prime is 51153989. The next prime is 51154007. The reversal of 51154000 is 45115.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 11916304 + 39237696 = 3452^2 + 6264^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51154007) 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, 10789 + ... + 14788.

Almost surely, 251154000 is an apocalyptic number.

51154000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51154000 is an abundant number, since it is smaller than the sum of its proper divisors (72541208).

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

51154000 is a wasteful number, since it uses less digits than its factorization.

51154000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25600 (or 25584 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 51154000 is about 7152.2024579845. The cubic root of 51154000 is about 371.2158686364.

Adding to 51154000 its reverse (45115), we get a palindrome (51199115).

The spelling of 51154000 in words is "fifty-one million, one hundred fifty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 25577 51154 102308 127885 204616 255770 409232 511540 639425 1023080 1278850 2046160 2557700 3197125 5115400 6394250 10230800 12788500 25577000 51154000