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427421040 = 243537127379
BaseRepresentation
bin11001011110011…
…110110101110000
31002210021020102220
4121132132311300
51333404433130
6110225041040
713410006324
oct3136366560
91083236386
10427421040
111aa2a4832
12bb186180
136a722777
1440aa1984
15277cd410
hex1979ed70

427421040 has 160 divisors (see below), whose sum is σ = 1375150080. Its totient is φ = 109734912.

The previous prime is 427421011. The next prime is 427421041. The reversal of 427421040 is 40124724.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 427421040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427421041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1127571 + ... + 1127949.

It is an arithmetic number, because the mean of its divisors is an integer number (8594688).

Almost surely, 2427421040 is an apocalyptic number.

427421040 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 427421040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687575040).

427421040 is an abundant number, since it is smaller than the sum of its proper divisors (947729040).

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

427421040 is a wasteful number, since it uses less digits than its factorization.

427421040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 427421040 is about 20674.1635864670. The cubic root of 427421040 is about 753.2722446787.

Adding to 427421040 its reverse (40124724), we get a palindrome (467545764).

The spelling of 427421040 in words is "four hundred twenty-seven million, four hundred twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 127 148 185 222 240 254 296 370 379 381 444 508 555 592 635 740 758 762 888 1016 1110 1137 1270 1480 1516 1524 1776 1895 1905 2032 2220 2274 2540 2960 3032 3048 3790 3810 4440 4548 4699 5080 5685 6064 6096 7580 7620 8880 9096 9398 10160 11370 14023 14097 15160 15240 18192 18796 22740 23495 28046 28194 30320 30480 37592 42069 45480 46990 48133 56092 56388 70115 70485 75184 84138 90960 93980 96266 112184 112776 140230 140970 144399 168276 187960 192532 210345 224368 225552 240665 280460 281940 288798 336552 375920 385064 420690 481330 560920 563880 577596 673104 721995 770128 841380 962660 1121840 1127760 1155192 1443990 1682760 1780921 1925320 2310384 2887980 3365520 3561842 3850640 5342763 5775960 7123684 8904605 10685526 11551920 14247368 17809210 21371052 26713815 28494736 35618420 42742104 53427630 71236840 85484208 106855260 142473680 213710520 427421040