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4172742 = 233721983
BaseRepresentation
bin1111111010101111000110
321211222221000
433322233012
52032011432
6225234130
750316300
oct17725706
97758830
104172742
1123a0052
121492946
13b313a2
147a8970
1557657c
hex3fabc6

4172742 has 96 divisors (see below), whose sum is σ = 11491200. Its totient is φ = 1115856.

The previous prime is 4172737. The next prime is 4172747. The reversal of 4172742 is 2472714.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4172737) and next prime (4172747).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4172747) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50233 + ... + 50315.

It is an arithmetic number, because the mean of its divisors is an integer number (119700).

Almost surely, 24172742 is an apocalyptic number.

4172742 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4172742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5745600).

4172742 is an abundant number, since it is smaller than the sum of its proper divisors (7318458).

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

4172742 is a wasteful number, since it uses less digits than its factorization.

4172742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 114 counting only the distinct ones).

The product of its digits is 3136, while the sum is 27.

The square root of 4172742 is about 2042.7290569236. The cubic root of 4172742 is about 160.9930683846.

The spelling of 4172742 in words is "four million, one hundred seventy-two thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 49 54 57 63 83 98 114 126 133 147 166 171 189 249 266 294 342 378 399 441 498 513 581 747 798 882 931 1026 1162 1197 1323 1494 1577 1743 1862 2241 2394 2646 2793 3154 3486 3591 4067 4482 4731 5229 5586 7182 8134 8379 9462 10458 11039 12201 14193 15687 16758 22078 24402 25137 28386 31374 33117 36603 42579 50274 66234 73206 77273 85158 99351 109809 154546 198702 219618 231819 298053 463638 596106 695457 1390914 2086371 4172742