Search a number
-
+
421590276 = 2232172361491
BaseRepresentation
bin11001001000001…
…111010100000100
31002101022000010200
4121020033110010
51330411342101
6105500050500
713306313112
oct3110172404
91071260120
10421590276
111a6a82018
12b9233a30
1369460803
143ddc4ab2
152702a986
hex1920f504

421590276 has 144 divisors (see below), whose sum is σ = 1199173248. Its totient is φ = 124185600.

The previous prime is 421590271. The next prime is 421590277. The reversal of 421590276 is 672095124.

421590276 is a `hidden beast` number, since 42 + 1 + 590 + 27 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 421590276.

It is not an unprimeable number, because it can be changed into a prime (421590271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 858391 + ... + 858881.

It is an arithmetic number, because the mean of its divisors is an integer number (8327592).

Almost surely, 2421590276 is an apocalyptic number.

421590276 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421590276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599586624).

421590276 is an abundant number, since it is smaller than the sum of its proper divisors (777582972).

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

421590276 is a wasteful number, since it uses less digits than its factorization.

421590276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 597 counting only the distinct ones).

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

The square root of 421590276 is about 20532.6636362650. The cubic root of 421590276 is about 749.8312366948.

The spelling of 421590276 in words is "four hundred twenty-one million, five hundred ninety thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 17 18 23 34 36 46 51 61 68 69 92 102 122 138 153 183 204 207 244 276 306 366 391 414 491 549 612 732 782 828 982 1037 1098 1173 1403 1473 1564 1964 2074 2196 2346 2806 2946 3111 3519 4148 4209 4419 4692 5612 5892 6222 7038 8347 8418 8838 9333 11293 12444 12627 14076 16694 16836 17676 18666 22586 23851 25041 25254 29951 33388 33879 37332 45172 47702 50082 50508 59902 67758 71553 75123 89853 95404 100164 101637 119804 135516 143106 150246 179706 191981 203274 214659 269559 286212 300492 359412 383962 406548 429318 509167 539118 575943 688873 767924 858636 1018334 1078236 1151886 1377746 1527501 1727829 2036668 2066619 2303772 2755492 3055002 3455658 4133238 4582503 6110004 6199857 6911316 8266476 9165006 11710841 12399714 18330012 23421682 24799428 35132523 46843364 70265046 105397569 140530092 210795138 421590276