Search a number
-
+
51655392 = 2532672677
BaseRepresentation
bin1100010100001…
…1001011100000
310121012100212200
43011003023200
5101210433032
65043053200
71165030545
oct305031340
9117170780
1051655392
1127181508
1215371200
13a917a29
146c08bcc
15480547c
hex31432e0

51655392 has 72 divisors (see below), whose sum is σ = 149143176. Its totient is φ = 16955136.

The previous prime is 51655391. The next prime is 51655399. The reversal of 51655392 is 29355615.

51655392 is a `hidden beast` number, since 5 + 16 + 553 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-4 number, since 4×516553924 (a number of 32 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51655391) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17958 + ... + 20634.

It is an arithmetic number, because the mean of its divisors is an integer number (2071433).

Almost surely, 251655392 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 51655392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74571588).

51655392 is an abundant number, since it is smaller than the sum of its proper divisors (97487784).

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

51655392 is a wasteful number, since it uses less digits than its factorization.

51655392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2760 (or 2749 counting only the distinct ones).

The product of its digits is 40500, while the sum is 36.

The square root of 51655392 is about 7187.1685662714. The cubic root of 51655392 is about 372.4247662724.

The spelling of 51655392 in words is "fifty-one million, six hundred fifty-five thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 67 72 96 134 144 201 268 288 402 536 603 804 1072 1206 1608 2144 2412 2677 3216 4824 5354 6432 8031 9648 10708 16062 19296 21416 24093 32124 42832 48186 64248 85664 96372 128496 179359 192744 256992 358718 385488 538077 717436 770976 1076154 1434872 1614231 2152308 2869744 3228462 4304616 5739488 6456924 8609232 12913848 17218464 25827696 51655392