Search a number
-
+
51672040 = 2357315953
BaseRepresentation
bin1100010100011…
…1001111101000
310121020012201021
43011013033220
5101212001130
65043302224
71165130230
oct305071750
9117205637
1051672040
1127192a72
121537a974
13a922494
146c10cc0
15480a37a
hex31473e8

51672040 has 64 divisors (see below), whose sum is σ = 137180160. Its totient is φ = 17141760.

The previous prime is 51672031. The next prime is 51672041. The reversal of 51672040 is 4027615.

51672040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 51671996 and 51672014.

It is not an unprimeable number, because it can be changed into a prime (51672041) 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 15 ways as a sum of consecutive naturals, for example, 5704 + ... + 11656.

It is an arithmetic number, because the mean of its divisors is an integer number (2143440).

Almost surely, 251672040 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 51672040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68590080).

51672040 is an abundant number, since it is smaller than the sum of its proper divisors (85508120).

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

51672040 is a wasteful number, since it uses less digits than its factorization.

51672040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6002 (or 5998 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 51672040 is about 7188.3266481150. The cubic root of 51672040 is about 372.4647715284.

Adding to 51672040 its reverse (4027615), we get a palindrome (55699655).

The spelling of 51672040 in words is "fifty-one million, six hundred seventy-two thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 56 62 70 124 140 155 217 248 280 310 434 620 868 1085 1240 1736 2170 4340 5953 8680 11906 23812 29765 41671 47624 59530 83342 119060 166684 184543 208355 238120 333368 369086 416710 738172 833420 922715 1291801 1476344 1666840 1845430 2583602 3690860 5167204 6459005 7381720 10334408 12918010 25836020 51672040