Search a number
-
+
52092792 = 23322383379
BaseRepresentation
bin1100011010110…
…1111101111000
310122000120212200
43012231331320
5101313432132
65100310200
71201532013
oct306557570
9118016780
1052092792
11274500a4
1215542360
13aa3bb4b
146cc037a
15488ed7c
hex31adf78

52092792 has 96 divisors (see below), whose sum is σ = 149385600. Its totient is φ = 16365888.

The previous prime is 52092773. The next prime is 52092793. The reversal of 52092792 is 29729025.

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 (52092793) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137259 + ... + 137637.

It is an arithmetic number, because the mean of its divisors is an integer number (1556100).

Almost surely, 252092792 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 52092792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74692800).

52092792 is an abundant number, since it is smaller than the sum of its proper divisors (97292808).

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

52092792 is a wasteful number, since it uses less digits than its factorization.

52092792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 52092792 is about 7217.5336507702. The cubic root of 52092792 is about 373.4730011720.

It can be divided in two parts, 5209 and 2792, that added together give a triangular number (8001 = T126).

The spelling of 52092792 in words is "fifty-two million, ninety-two thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 83 92 138 166 184 207 249 276 332 379 414 498 552 664 747 758 828 996 1137 1494 1516 1656 1909 1992 2274 2988 3032 3411 3818 4548 5727 5976 6822 7636 8717 9096 11454 13644 15272 17181 17434 22908 26151 27288 31457 34362 34868 45816 52302 62914 68724 69736 78453 94371 104604 125828 137448 156906 188742 209208 251656 283113 313812 377484 566226 627624 723511 754968 1132452 1447022 2170533 2264904 2894044 4341066 5788088 6511599 8682132 13023198 17364264 26046396 52092792