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4202442440 = 235744933427
BaseRepresentation
bin1111101001111100…
…0010111011001000
3101211212122012021022
43322133002323020
532101311124230
61533000532012
7206066112530
oct37237027310
911755565238
104202442440
111867195229
12993481008
1351c852641
142bc1b04c0
15198e131e5
hexfa7c2ec8

4202442440 has 64 divisors (see below), whose sum is σ = 10830672000. Its totient is φ = 1437585408.

The previous prime is 4202442437. The next prime is 4202442457. The reversal of 4202442440 is 442442024.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109007 + ... + 142433.

It is an arithmetic number, because the mean of its divisors is an integer number (169229250).

Almost surely, 24202442440 is an apocalyptic number.

4202442440 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 4202442440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5415336000).

4202442440 is an abundant number, since it is smaller than the sum of its proper divisors (6628229560).

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

4202442440 is a wasteful number, since it uses less digits than its factorization.

4202442440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33894 (or 33890 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

The square root of 4202442440 is about 64826.2480789996. The cubic root of 4202442440 is about 1613.7413395980.

Adding to 4202442440 its reverse (442442024), we get a palindrome (4644884464).

The spelling of 4202442440 in words is "four billion, two hundred two million, four hundred forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 449 898 1796 2245 3143 3592 4490 6286 8980 12572 15715 17960 25144 31430 33427 62860 66854 125720 133708 167135 233989 267416 334270 467978 668540 935956 1169945 1337080 1871912 2339890 4679780 9359560 15008723 30017446 60034892 75043615 105061061 120069784 150087230 210122122 300174460 420244244 525305305 600348920 840488488 1050610610 2101221220 4202442440