Search a number
-
+
2642422440 = 233573145741
BaseRepresentation
bin1001110110000000…
…0010101010101000
320211011011222010210
42131200002222220
520402430004230
61114112141120
7122324135340
oct23540025250
96734158123
102642422440
1111366400a9
12618b377a0
133315a7298
141b0d25d20
15106eaeeb0
hex9d802aa8

2642422440 has 64 divisors (see below), whose sum is σ = 9059736960. Its totient is φ = 603982080.

The previous prime is 2642422429. The next prime is 2642422441. The reversal of 2642422440 is 442242462.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2642422398 and 2642422407.

It is not an unprimeable number, because it can be changed into a prime (2642422441) 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, 1572031 + ... + 1573710.

It is an arithmetic number, because the mean of its divisors is an integer number (141558390).

Almost surely, 22642422440 is an apocalyptic number.

2642422440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2642422440 is an abundant number, since it is smaller than the sum of its proper divisors (6417314520).

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

2642422440 is a wasteful number, since it uses less digits than its factorization.

2642422440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3145762 (or 3145758 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

The square root of 2642422440 is about 51404.4982467488. The cubic root of 2642422440 is about 1382.5072462061.

The spelling of 2642422440 in words is "two billion, six hundred forty-two million, four hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 3145741 6291482 9437223 12582964 15728705 18874446 22020187 25165928 31457410 37748892 44040374 47186115 62914820 66060561 75497784 88080748 94372230 110100935 125829640 132121122 176161496 188744460 220201870 264242244 330302805 377488920 440403740 528484488 660605610 880807480 1321211220 2642422440