Search a number
-
+
5029416 = 2332717587
BaseRepresentation
bin10011001011111000101000
3100110112001200
4103023320220
52241420131
6255444200
760515010
oct23137050
910415050
105029416
112925747
121826660
1310712b2
1494cc40
156952e6
hex4cbe28

5029416 has 96 divisors (see below), whose sum is σ = 16511040. Its totient is φ = 1350144.

The previous prime is 5029411. The next prime is 5029417. The reversal of 5029416 is 6149205.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 5029416.

It is not an unprimeable number, because it can be changed into a prime (5029411) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 8275 + ... + 8861.

It is an arithmetic number, because the mean of its divisors is an integer number (171990).

Almost surely, 25029416 is an apocalyptic number.

5029416 is a gapful number since it is divisible by the number (56) 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 5029416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8255520).

5029416 is an abundant number, since it is smaller than the sum of its proper divisors (11481624).

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

5029416 is a wasteful number, since it uses less digits than its factorization.

5029416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 5029416 is about 2242.6359490564. The cubic root of 5029416 is about 171.3322768721.

It can be divided in two parts, 5029 and 416, that added together give a palindrome (5445).

The spelling of 5029416 in words is "five million, twenty-nine thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 28 34 36 42 51 56 63 68 72 84 102 119 126 136 153 168 204 238 252 306 357 408 476 504 587 612 714 952 1071 1174 1224 1428 1761 2142 2348 2856 3522 4109 4284 4696 5283 7044 8218 8568 9979 10566 12327 14088 16436 19958 21132 24654 29937 32872 36981 39916 42264 49308 59874 69853 73962 79832 89811 98616 119748 139706 147924 179622 209559 239496 279412 295848 359244 419118 558824 628677 718488 838236 1257354 1676472 2514708 5029416