Search a number
-
+
421515252 = 223410691217
BaseRepresentation
bin11001000111111…
…100111111110100
31002101011012020000
4121013330333310
51330401442002
6105454311300
713305551304
oct3107747764
91071135200
10421515252
111a6a30714
12b91b8530
1369435612
143dda5604
152701361c
hex191fcff4

421515252 has 60 divisors (see below), whose sum is σ = 1103861220. Its totient is φ = 140258304.

The previous prime is 421515239. The next prime is 421515253. The reversal of 421515252 is 252515124.

It can be written as a sum of positive squares in 2 ways, for example, as 168896016 + 252619236 = 12996^2 + 15894^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421515253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 345748 + ... + 346964.

It is an arithmetic number, because the mean of its divisors is an integer number (18397687).

Almost surely, 2421515252 is an apocalyptic number.

It is an amenable number.

421515252 is an abundant number, since it is smaller than the sum of its proper divisors (682345968).

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

421515252 is a wasteful number, since it uses less digits than its factorization.

421515252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2302 (or 2291 counting only the distinct ones).

The product of its digits is 4000, while the sum is 27.

The square root of 421515252 is about 20530.8366122767. The cubic root of 421515252 is about 749.7867553747.

The spelling of 421515252 in words is "four hundred twenty-one million, five hundred fifteen thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 1069 1217 2138 2434 3207 3651 4276 4868 6414 7302 9621 10953 12828 14604 19242 21906 28863 32859 38484 43812 57726 65718 86589 98577 115452 131436 173178 197154 346356 394308 1300973 2601946 3902919 5203892 7805838 11708757 15611676 23417514 35126271 46835028 70252542 105378813 140505084 210757626 421515252