Search a number
-
+
421145440 = 25541431493
BaseRepresentation
bin11001000110100…
…010101101100000
31002100110101221021
4121012202231200
51330303123230
6105442335224
713302451162
oct3106425540
91070411837
10421145440
111a67a8891
12b905a514
13693361b1
143dd0a932
1526e8dc7a
hex191a2b60

421145440 has 96 divisors (see below), whose sum is σ = 1043624736. Its totient is φ = 160419840.

The previous prime is 421145429. The next prime is 421145441. The reversal of 421145440 is 44541124.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421145441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 281334 + ... + 282826.

It is an arithmetic number, because the mean of its divisors is an integer number (10871091).

Almost surely, 2421145440 is an apocalyptic number.

421145440 is a gapful number since it is divisible by the number (40) 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 421145440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521812368).

421145440 is an abundant number, since it is smaller than the sum of its proper divisors (622479296).

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

421145440 is a wasteful number, since it uses less digits than its factorization.

421145440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1592 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 421145440 is about 20521.8283785826. The cubic root of 421145440 is about 749.5674186940.

Adding to 421145440 its reverse (44541124), we get a palindrome (465686564).

The spelling of 421145440 in words is "four hundred twenty-one million, one hundred forty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 43 80 82 86 160 164 172 205 215 328 344 410 430 656 688 820 860 1312 1376 1493 1640 1720 1763 2986 3280 3440 3526 5972 6560 6880 7052 7465 8815 11944 14104 14930 17630 23888 28208 29860 35260 47776 56416 59720 61213 64199 70520 119440 122426 128398 141040 238880 244852 256796 282080 306065 320995 489704 513592 612130 641990 979408 1027184 1224260 1283980 1958816 2054368 2448520 2567960 2632159 4897040 5135920 5264318 9794080 10271840 10528636 13160795 21057272 26321590 42114544 52643180 84229088 105286360 210572720 421145440