Search a number
-
+
51761352 = 2334121283
BaseRepresentation
bin1100010101110…
…1000011001000
310121101202020010
43011131003020
5101222330402
65045231520
71165651506
oct305350310
9117352203
1051761352
1127244085
12154025a0
13a954026
146c35676
154826a6c
hex315d0c8

51761352 has 48 divisors (see below), whose sum is σ = 132739920. Its totient is φ = 16819840.

The previous prime is 51761341. The next prime is 51761363. The reversal of 51761352 is 25316715.

It is an interprime number because it is at equal distance from previous prime (51761341) and next prime (51761363).

It is a super-3 number, since 3×517613523 (a number of 24 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39703 + ... + 40985.

It is an arithmetic number, because the mean of its divisors is an integer number (2765415).

Almost surely, 251761352 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 51761352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66369960).

51761352 is an abundant number, since it is smaller than the sum of its proper divisors (80978568).

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

51761352 is a wasteful number, since it uses less digits than its factorization.

51761352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374 (or 1329 counting only the distinct ones).

The product of its digits is 6300, while the sum is 30.

The square root of 51761352 is about 7194.5362602464. The cubic root of 51761352 is about 372.6792422958.

The spelling of 51761352 in words is "fifty-one million, seven hundred sixty-one thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 328 492 984 1283 1681 2566 3362 3849 5043 5132 6724 7698 10086 10264 13448 15396 20172 30792 40344 52603 105206 157809 210412 315618 420824 631236 1262472 2156723 4313446 6470169 8626892 12940338 17253784 25880676 51761352