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5010642 = 23272131923
BaseRepresentation
bin10011000111010011010010
3100102120022100
4103013103102
52240320032
6255221230
760406200
oct23072322
910376270
105010642
11291262a
121817816
1310658a0
14946070
1568e97c
hex4c74d2

5010642 has 144 divisors (see below), whose sum is σ = 14938560. Its totient is φ = 1197504.

The previous prime is 5010637. The next prime is 5010667. The reversal of 5010642 is 2460105.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 217843 + ... + 217865.

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

Almost surely, 25010642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5010642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7469280).

5010642 is an abundant number, since it is smaller than the sum of its proper divisors (9927918).

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

5010642 is a wasteful number, since it uses less digits than its factorization.

5010642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 5010642 is about 2238.4463361895. The cubic root of 5010642 is about 171.1188257924.

Adding to 5010642 its reverse (2460105), we get a palindrome (7470747).

The spelling of 5010642 in words is "five million, ten thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 9 13 14 18 19 21 23 26 38 39 42 46 49 57 63 69 78 91 98 114 117 126 133 138 147 161 171 182 207 234 247 266 273 294 299 322 342 399 414 437 441 483 494 546 598 637 741 798 819 874 882 897 931 966 1127 1197 1274 1311 1449 1482 1638 1729 1794 1862 1911 2093 2223 2254 2394 2622 2691 2793 2898 3059 3381 3458 3822 3933 4186 4446 5187 5382 5586 5681 5733 6118 6279 6762 7866 8379 9177 10143 10374 11362 11466 12103 12558 14651 15561 16758 17043 18354 18837 20286 21413 24206 27531 29302 31122 34086 36309 37674 39767 42826 43953 51129 55062 64239 72618 79534 87906 102258 108927 119301 128478 131859 192717 217854 238602 263718 278369 357903 385434 556738 715806 835107 1670214 2505321 5010642