Search a number
-
+
52151022 = 232711191197
BaseRepresentation
bin1100011011110…
…0001011101110
310122010112202100
43012330023232
5101322313042
65101435530
71202163540
oct306741356
9118115670
1052151022
112748a920
121556bba6
13aa5c4c1
146cd7690
1548a224c
hex31bc2ee

52151022 has 96 divisors (see below), whose sum is σ = 142331904. Its totient is φ = 13406400.

The previous prime is 52151017. The next prime is 52151027. The reversal of 52151022 is 22015125.

It is an interprime number because it is at equal distance from previous prime (52151017) and next prime (52151027).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 52150986 and 52151004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52151027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 264628 + ... + 264824.

It is an arithmetic number, because the mean of its divisors is an integer number (1482624).

Almost surely, 252151022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52151022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71165952).

52151022 is an abundant number, since it is smaller than the sum of its proper divisors (90180882).

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

52151022 is a wasteful number, since it uses less digits than its factorization.

52151022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 52151022 is about 7221.5664505701. The cubic root of 52151022 is about 373.6121070118.

Adding to 52151022 its reverse (22015125), we get a palindrome (74166147).

The spelling of 52151022 in words is "fifty-two million, one hundred fifty-one thousand, twenty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 191 197 198 231 382 394 462 573 591 693 1146 1182 1337 1379 1386 1719 1773 2101 2167 2674 2758 3438 3546 4011 4137 4202 4334 6303 6501 8022 8274 12033 12411 12606 13002 14707 15169 18909 19503 24066 24822 29414 30338 37627 37818 39006 44121 45507 75254 88242 91014 112881 132363 136521 225762 263389 264726 273042 338643 413897 526778 677286 790167 827794 1241691 1580334 2370501 2483382 2897279 3725073 4741002 5794558 7450146 8691837 17383674 26075511 52151022