Search a number
-
+
52129476 = 22327316673
BaseRepresentation
bin1100011011011…
…0111011000100
310122002110012100
43012312323010
5101321120401
65101152100
71202043660
oct306667304
9118073170
1052129476
1127475713
121555b630
13aa52759
146ccd8a0
15489ab86
hex31b6ec4

52129476 has 72 divisors (see below), whose sum is σ = 155477504. Its totient is φ = 14411520.

The previous prime is 52129471. The next prime is 52129481. The reversal of 52129476 is 67492125.

It is an interprime number because it is at equal distance from previous prime (52129471) and next prime (52129481).

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

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 52129476.

It is not an unprimeable number, because it can be changed into a prime (52129471) 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, 4476 + ... + 11148.

Almost surely, 252129476 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 52129476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77738752).

52129476 is an abundant number, since it is smaller than the sum of its proper divisors (103348028).

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

52129476 is a wasteful number, since it uses less digits than its factorization.

52129476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6721 (or 6716 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 52129476 is about 7220.0745148509. The cubic root of 52129476 is about 373.5606477755.

The spelling of 52129476 in words is "fifty-two million, one hundred twenty-nine thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 84 93 124 126 186 217 252 279 372 434 558 651 868 1116 1302 1953 2604 3906 6673 7812 13346 20019 26692 40038 46711 60057 80076 93422 120114 140133 186844 206863 240228 280266 413726 420399 560532 620589 827452 840798 1241178 1448041 1681596 1861767 2482356 2896082 3723534 4344123 5792164 7447068 8688246 13032369 17376492 26064738 52129476