Search a number
-
+
52978140 = 22325893307
BaseRepresentation
bin1100101000011…
…0000111011100
310200200120100100
43022012013130
5102030300030
65131301100
71212210135
oct312060734
9120616310
1052978140
11279a5296
12158aa790
13ac8bb17
147070c8c
1549b7360
hex32861dc

52978140 has 72 divisors (see below), whose sum is σ = 162555120. Its totient is φ = 13964544.

The previous prime is 52978127. The next prime is 52978147. The reversal of 52978140 is 4187925.

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

It is a junction number, because it is equal to n+sod(n) for n = 52978095 and 52978104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52978147) 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, 14367 + ... + 17673.

It is an arithmetic number, because the mean of its divisors is an integer number (2257710).

Almost surely, 252978140 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 52978140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81277560).

52978140 is an abundant number, since it is smaller than the sum of its proper divisors (109576980).

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

52978140 is a wasteful number, since it uses less digits than its factorization.

52978140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3411 (or 3406 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 52978140 is about 7278.6083834755. The cubic root of 52978140 is about 375.5769252974.

The spelling of 52978140 in words is "fifty-two million, nine hundred seventy-eight thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 89 90 178 180 267 356 445 534 801 890 1068 1335 1602 1780 2670 3204 3307 4005 5340 6614 8010 9921 13228 16020 16535 19842 29763 33070 39684 49605 59526 66140 99210 119052 148815 198420 294323 297630 588646 595260 882969 1177292 1471615 1765938 2648907 2943230 3531876 4414845 5297814 5886460 8829690 10595628 13244535 17659380 26489070 52978140