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4977126 = 235721119
BaseRepresentation
bin10010111111000111100110
3100100212100000
4102333013212
52233232001
6254402130
760206400
oct22770746
910325300
104977126
11289a430
121800346
13105355b
14937b70
15684a86
hex4bf1e6

4977126 has 144 divisors (see below), whose sum is σ = 14938560. Its totient is φ = 1224720.

The previous prime is 4977109. The next prime is 4977127. The reversal of 4977126 is 6217794.

It is a happy number.

Its product of digits (21168) is a multiple of the sum of its prime divisors (42).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4977127) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 261945 + ... + 261963.

It is an arithmetic number, because the mean of its divisors is an integer number (103740).

Almost surely, 24977126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4977126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7469280).

4977126 is an abundant number, since it is smaller than the sum of its proper divisors (9961434).

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

4977126 is a wasteful number, since it uses less digits than its factorization.

4977126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 42 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 4977126 is about 2230.9473324128. The cubic root of 4977126 is about 170.7364360804.

The spelling of 4977126 in words is "four million, nine hundred seventy-seven thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 9 11 14 18 19 21 22 27 33 38 42 49 54 57 63 66 77 81 98 99 114 126 133 147 154 162 171 189 198 209 231 243 266 294 297 342 378 399 418 441 462 486 513 539 567 594 627 693 798 882 891 931 1026 1078 1134 1197 1254 1323 1386 1463 1539 1617 1701 1782 1862 1881 2079 2394 2646 2673 2793 2926 3078 3234 3402 3591 3762 3969 4158 4389 4617 4851 5346 5586 5643 6237 7182 7938 8379 8778 9234 9702 10241 10773 11286 11907 12474 13167 14553 16758 16929 18711 20482 21546 23814 25137 26334 29106 30723 32319 33858 37422 39501 43659 50274 50787 61446 64638 75411 79002 87318 92169 101574 118503 130977 150822 184338 226233 237006 261954 276507 355509 452466 553014 711018 829521 1659042 2488563 4977126