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4942443408 = 24373893373
BaseRepresentation
bin1001001101001011…
…11011001110010000
3110202110002010202120
410212211323032100
540110231142113
62134233414240
7233323035000
oct44645731620
913673063676
104942443408
112106975981
12b5b26a380
13609c58b36
1434c59c000
151ddd87a23
hex12697b390

4942443408 has 160 divisors (see below), whose sum is σ = 15061536000. Its totient is φ = 1395846144.

The previous prime is 4942443403. The next prime is 4942443469. The reversal of 4942443408 is 8043442494.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 4942443408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4942443403) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1463610 + ... + 1466982.

It is an arithmetic number, because the mean of its divisors is an integer number (94134600).

Almost surely, 24942443408 is an apocalyptic number.

4942443408 is a gapful number since it is divisible by the number (48) 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 4942443408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7530768000).

4942443408 is an abundant number, since it is smaller than the sum of its proper divisors (10119092592).

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

4942443408 is a wasteful number, since it uses less digits than its factorization.

4942443408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3494 (or 3474 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 42.

The square root of 4942443408 is about 70302.5135254779. The cubic root of 4942443408 is about 1703.3892485971.

The spelling of 4942443408 in words is "four billion, nine hundred forty-two million, four hundred forty-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 89 98 112 147 168 178 196 267 294 336 343 356 392 534 588 623 686 712 784 1029 1068 1176 1246 1372 1424 1869 2058 2136 2352 2492 2744 3373 3738 4116 4272 4361 4984 5488 6746 7476 8232 8722 9968 10119 13083 13492 14952 16464 17444 20238 23611 26166 26984 29904 30527 34888 40476 47222 52332 53968 61054 69776 70833 80952 91581 94444 104664 122108 141666 161904 165277 183162 188888 209328 244216 283332 300197 330554 366324 377776 488432 495831 566664 600394 661108 732648 900591 991662 1133328 1156939 1200788 1322216 1465296 1801182 1983324 2101379 2313878 2401576 2644432 3470817 3602364 3966648 4202758 4627756 4803152 6304137 6941634 7204728 7933296 8405516 9255512 12608274 13883268 14409456 14709653 16811032 18511024 25216548 27766536 29419306 33622064 44128959 50433096 55533072 58838612 88257918 100866192 102967571 117677224 176515836 205935142 235354448 308902713 353031672 411870284 617805426 706063344 823740568 1235610852 1647481136 2471221704 4942443408